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123032112000000 = 2103567366167
BaseRepresentation
bin11011111110010110100101…
…010101001110110000000000
3121010121202101102102221002220
4123332112211111032300000
5112111224231133000000
61113400101052011040
734625530300013430
oct3376264525166000
9533552342387086
10123032112000000
1136224697868865
1211970545460a80
135385b55a517b8
142254b00aa22c0
15e3553310b1a0
hex6fe5a554ec00

123032112000000 has 616 divisors, whose sum is σ = 468460188632832. Its totient is φ = 28121548800000.

The previous prime is 123032111999959. The next prime is 123032112000001. The reversal of 123032112000000 is 211230321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (123032112000001) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 335816917 + ... + 336183083.

Almost surely, 2123032112000000 is an apocalyptic number.

123032112000000 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 123032112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234230094316416).

123032112000000 is an abundant number, since it is smaller than the sum of its proper divisors (345428076632832).

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

123032112000000 is an frugal number, since it uses more digits than its factorization.

123032112000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366227 (or 366184 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 123032112000000 its reverse (211230321), we get a palindrome (123032323230321).

The spelling of 123032112000000 in words is "one hundred twenty-three trillion, thirty-two billion, one hundred twelve million", and thus it is an aban number.