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120233112120 = 2332511188916073
BaseRepresentation
bin110111111111001110…
…0111011001000111000
3102111100020210221012200
41233332130323020320
53432214134041440
6131122340510200
711454326406402
oct1577634731070
9374306727180
10120233112120
1146a99503770
121b3759ab360
13b451596034
145b682a7b72
1531da6a0c30
hex1bfe73b238

120233112120 has 192 divisors, whose sum is σ = 426533234400. Its totient is φ = 29130178560.

The previous prime is 120233112091. The next prime is 120233112143. The reversal of 120233112120 is 21211332021.

120233112120 is a `hidden beast` number, since 1 + 202 + 331 + 12 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120233112093 and 120233112102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7472404 + ... + 7488476.

Almost surely, 2120233112120 is an apocalyptic number.

120233112120 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 120233112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213266617200).

120233112120 is an abundant number, since it is smaller than the sum of its proper divisors (306300122280).

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

120233112120 is a wasteful number, since it uses less digits than its factorization.

120233112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17990 (or 17983 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120233112120 its reverse (21211332021), we get a palindrome (141444444141).

The spelling of 120233112120 in words is "one hundred twenty billion, two hundred thirty-three million, one hundred twelve thousand, one hundred twenty".