11312002142400 has 168 divisors, whose sum is σ = 37114323062544. Its totient is φ = 3016409600000.

The previous prime is 11312002142341. The next prime is 11312002142417. The reversal of 11312002142400 is 424120021311.

It is a super-2 number, since 2×11312002142400² (a number of 27 digits) contains 22 as substring.

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, 227979994 + ... + 228029606.

It is an arithmetic number, because the mean of its divisors is an integer number (220918589658).

Almost surely, 2^{11312002142400} is an apocalyptic number.

11312002142400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11312002142400 is an abundant number, since it is smaller than the sum of its proper divisors (25802320920144).

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

11312002142400 is a wasteful number, since it uses less digits than its factorization.

11312002142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97139 (or 97124 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11312002142400 its reverse (424120021311), we get a palindrome (11736122163711).

The spelling of 11312002142400 in words is "eleven trillion, three hundred twelve billion, two million, one hundred forty-two thousand, four hundred".