1157124121200 has 180 divisors, whose sum is σ = 4190131211760. Its totient is φ = 295150479360.

The previous prime is 1157124121187. The next prime is 1157124121213. The reversal of 1157124121200 is 21214217511.

1157124121200 is a `hidden beast` number, since 11 + 571 + 2 + 41 + 21 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1157124121187) and next prime (1157124121213).

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6904665 + ... + 7070264.

It is an arithmetic number, because the mean of its divisors is an integer number (23278506732).

Almost surely, 2^{1157124121200} is an apocalyptic number.

1157124121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1157124121200 is an abundant number, since it is smaller than the sum of its proper divisors (3033007090560).

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

1157124121200 is a wasteful number, since it uses less digits than its factorization.

1157124121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13974976 (or 13974962 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

Adding to 1157124121200 its reverse (21214217511), we get a palindrome (1178338338711).

The spelling of 1157124121200 in words is "one trillion, one hundred fifty-seven billion, one hundred twenty-four million, one hundred twenty-one thousand, two hundred".