120010313410400 has 432 divisors, whose sum is σ = 343206037845216. Its totient is φ = 40857374638080.

The previous prime is 120010313410363. The next prime is 120010313410411. The reversal of 120010313410400 is 4014313010021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6631494152 + ... + 6631512248.

It is an arithmetic number, because the mean of its divisors is an integer number (794458420938).

Almost surely, 2^{120010313410400} is an apocalyptic number.

120010313410400 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 120010313410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171603018922608).

120010313410400 is an abundant number, since it is smaller than the sum of its proper divisors (223195724434816).

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

120010313410400 is a wasteful number, since it uses less digits than its factorization.

120010313410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19311 (or 19291 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 120010313410400 its reverse (4014313010021), we get a palindrome (124024626420421).

The spelling of 120010313410400 in words is "one hundred twenty trillion, ten billion, three hundred thirteen million, four hundred ten thousand, four hundred".