2311012132400 has 120 divisors (see below), whose sum is σ = 5602928986320. Its totient is φ = 915964600320.

The previous prime is 2311012132337. The next prime is 2311012132417. The reversal of 2311012132400 is 42312101132.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274495391 + ... + 274503809.

It is an arithmetic number, because the mean of its divisors is an integer number (46691074886).

Almost surely, 2^{2311012132400} is an apocalyptic number.

2311012132400 is a gapful number since it is divisible by the number (20) 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 2311012132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2801464493160).

2311012132400 is an abundant number, since it is smaller than the sum of its proper divisors (3291916853920).

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

2311012132400 is a wasteful number, since it uses less digits than its factorization.

2311012132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14623 (or 14612 counting only the distinct ones).

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

Adding to 2311012132400 its reverse (42312101132), we get a palindrome (2353324233532).

The spelling of 2311012132400 in words is "two trillion, three hundred eleven billion, twelve million, one hundred thirty-two thousand, four hundred".