123002413252000 has 192 divisors, whose sum is σ = 305384241445920. Its totient is φ = 48685498368000.

The previous prime is 123002413251917. The next prime is 123002413252007. The reversal of 123002413252000 is 252314200321.

It can be written as a sum of positive squares in 16 ways, for example, as 776210336784 + 122226202915216 = 881028^2 + 11055596^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (123002413252007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2623244556 + ... + 2623291444.

Almost surely, 2^{123002413252000} is an apocalyptic number.

123002413252000 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 123002413252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152692120722960).

123002413252000 is an abundant number, since it is smaller than the sum of its proper divisors (182381828193920).

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

123002413252000 is an equidigital number, since it uses as much as digits as its factorization.

123002413252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53772 (or 53754 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 123002413252000 its reverse (252314200321), we get a palindrome (123254727452321).

The spelling of 123002413252000 in words is "one hundred twenty-three trillion, two billion, four hundred thirteen million, two hundred fifty-two thousand".