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2121120 = 25335491
BaseRepresentation
bin1000000101110110100000
310222202122000
420011312200
51020333440
6113244000
724013011
oct10056640
93882560
102121120
1112196a1
12863600
13593601
143d3008
152bd730
hex205da0

2121120 has 96 divisors (see below), whose sum is σ = 7439040. Its totient is φ = 564480.

The previous prime is 2121043. The next prime is 2121121. The reversal of 2121120 is 211212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2121121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4075 + ... + 4565.

It is an arithmetic number, because the mean of its divisors is an integer number (77490).

22121120 is an apocalyptic number.

2121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719520).

2121120 is an abundant number, since it is smaller than the sum of its proper divisors (5317920).

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

2121120 is a wasteful number, since it uses less digits than its factorization.

2121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2121120 is about 1456.4065366511. The cubic root of 2121120 is about 128.4857842329.

Adding to 2121120 its reverse (211212), we get a palindrome (2332332).

The spelling of 2121120 in words is "two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 491 540 720 864 982 1080 1440 1473 1964 2160 2455 2946 3928 4320 4419 4910 5892 7365 7856 8838 9820 11784 13257 14730 15712 17676 19640 22095 23568 26514 29460 35352 39280 44190 47136 53028 58920 66285 70704 78560 88380 106056 117840 132570 141408 176760 212112 235680 265140 353520 424224 530280 707040 1060560 2121120