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120232132111312 = 24137941531761847
BaseRepresentation
bin11011010101100110111001…
…100001100110101111010000
3120202201002011000022002200121
4123111212321201212233100
5111224340401310030222
61103413513505400024
734216325213445034
oct3325467141465720
9522632130262617
10120232132111312
113534518514a201
1211599961939014
135211ac2762a60
1421993a28041c4
15dd77a89b05c7
hex6d59b9866bd0

120232132111312 has 80 divisors (see below), whose sum is σ = 254105840074240. Its totient is φ = 54776102224896.

The previous prime is 120232132111249. The next prime is 120232132111373. The reversal of 120232132111312 is 213111231232021.

It is a super-2 number, since 2×1202321321113122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67361173 + ... + 69123019.

It is an arithmetic number, because the mean of its divisors is an integer number (3176323000928).

Almost surely, 2120232132111312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120232132111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127052920037120).

120232132111312 is an abundant number, since it is smaller than the sum of its proper divisors (133873707962928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120232132111312 is a wasteful number, since it uses less digits than its factorization.

120232132111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766100 (or 1766094 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 120232132111312 its reverse (213111231232021), we get a palindrome (333343363343333).

The spelling of 120232132111312 in words is "one hundred twenty trillion, two hundred thirty-two billion, one hundred thirty-two million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 79 104 158 208 316 632 1027 1264 2054 4108 4153 8216 8306 16432 16612 33224 53989 66448 107978 215956 328087 431912 656174 863824 1312348 1761847 2624696 3523694 4265131 5249392 7047388 8530262 14094776 17060524 22904011 28189552 34121048 45808022 68242096 91616044 139185913 183232088 278371826 366464176 556743652 1113487304 1809416869 2226974608 3618833738 7237667476 7316950591 14475334952 14633901182 28950669904 29267802364 58535604728 95120357683 117071209456 190240715366 380481430732 578039096689 760962861464 1156078193378 1521925722928 2312156386756 4624312773512 7514508256957 9248625547024 15029016513914 30058033027828 60116066055656 120232132111312