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120211111020 = 223572111319101149
BaseRepresentation
bin110111111110100100…
…0111111110001101100
3102111021201102011101010
41233331020333301230
53432143021023040
6131120233145220
711453641404300
oct1577510776154
9374251364333
10120211111020
1146a88046a40
121b36a55b210
13b449b61b30
145b653bbd00
1531d87a6e80
hex1bfd23fc6c

120211111020 has 1152 divisors, whose sum is σ = 492283008000. Its totient is φ = 21482496000.

The previous prime is 120211111003. The next prime is 120211111021. The reversal of 120211111020 is 20111112021.

It is a super-2 number, since 2×1202111110202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120211110987 and 120211111005.

It is not an unprimeable number, because it can be changed into a prime (120211111021) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 806785906 + ... + 806786054.

It is an arithmetic number, because the mean of its divisors is an integer number (427329000).

Almost surely, 2120211111020 is an apocalyptic number.

120211111020 is a gapful number since it is divisible by the number (10) 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 120211111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246141504000).

120211111020 is an abundant number, since it is smaller than the sum of its proper divisors (372071896980).

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

120211111020 is a wasteful number, since it uses less digits than its factorization.

120211111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120211111020 its reverse (20111112021), we get a palindrome (140322223041).

The spelling of 120211111020 in words is "one hundred twenty billion, two hundred eleven million, one hundred eleven thousand, twenty".