123525521000400 has 480 divisors, whose sum is σ = 402981647523840. Its totient is φ = 32339324160000.

The previous prime is 123525521000377. The next prime is 123525521000417. The reversal of 123525521000400 is 4000125525321.

It is a super-2 number, since 2×123525521000400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27927992589 + ... + 27927997011.

It is an arithmetic number, because the mean of its divisors is an integer number (839545099008).

Almost surely, 2^{123525521000400} is an apocalyptic number.

123525521000400 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 123525521000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201490823761920).

123525521000400 is an abundant number, since it is smaller than the sum of its proper divisors (279456126523440).

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

123525521000400 is a wasteful number, since it uses less digits than its factorization.

123525521000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6435 (or 6424 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 123525521000400 its reverse (4000125525321), we get a palindrome (127525646525721).

The spelling of 123525521000400 in words is "one hundred twenty-three trillion, five hundred twenty-five billion, five hundred twenty-one million, four hundred", and thus it is an aban number.