1151111122400 has 72 divisors (see below), whose sum is σ = 2817684672264. Its totient is φ = 459209894400.

The previous prime is 1151111122397. The next prime is 1151111122463. The reversal of 1151111122400 is 42211111511.

It is a super-2 number, since 2×1151111122400² (a number of 25 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 1630406 + ... + 2227205.

It is an arithmetic number, because the mean of its divisors is an integer number (39134509337).

Almost surely, 2^{1151111122400} is an apocalyptic number.

1151111122400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1151111122400 is an abundant number, since it is smaller than the sum of its proper divisors (1666573549864).

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

1151111122400 is a wasteful number, since it uses less digits than its factorization.

1151111122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3858004 (or 3857991 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 20.

Adding to 1151111122400 its reverse (42211111511), we get a palindrome (1193322233911).

It can be divided in two parts, 11511111 and 22400, that added together give a palindrome (11533511).

The spelling of 1151111122400 in words is "one trillion, one hundred fifty-one billion, one hundred eleven million, one hundred twenty-two thousand, four hundred".