31404120310200 has 384 divisors, whose sum is σ = 106810306560000. Its totient is φ = 7569640742400.

The previous prime is 31404120310181. The next prime is 31404120310217. The reversal of 31404120310200 is 201302140413.

It is a super-2 number, since 2×31404120310200² (a number of 28 digits) contains 22 as substring.

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, 2110626361 + ... + 2110641239.

It is an arithmetic number, because the mean of its divisors is an integer number (278151840000).

Almost surely, 2^{31404120310200} is an apocalyptic number.

31404120310200 is a gapful number since it is divisible by the number (30) 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 31404120310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53405153280000).

31404120310200 is an abundant number, since it is smaller than the sum of its proper divisors (75406186249800).

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

31404120310200 is a wasteful number, since it uses less digits than its factorization.

31404120310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16715 (or 16706 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 31404120310200 its reverse (201302140413), we get a palindrome (31605422450613).

The spelling of 31404120310200 in words is "thirty-one trillion, four hundred four billion, one hundred twenty million, three hundred ten thousand, two hundred".