1131213957120 has 576 divisors, whose sum is σ = 4325335232400. Its totient is φ = 271649341440.

The previous prime is 1131213957047. The next prime is 1131213957131. The reversal of 1131213957120 is 217593121311.

1131213957120 is a `hidden beast` number, since 1 + 1 + 31 + 2 + 1 + 39 + 571 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 239050589184 + 892163367936 = 488928^2 + 944544^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49109766 + ... + 49132794.

Almost surely, 2^{1131213957120} is an apocalyptic number.

1131213957120 is a gapful number since it is divisible by the number (10) 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 1131213957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162667616200).

1131213957120 is an abundant number, since it is smaller than the sum of its proper divisors (3194121275280).

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

1131213957120 is a wasteful number, since it uses less digits than its factorization.

1131213957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23116 (or 23093 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 1131213957120 in words is "one trillion, one hundred thirty-one billion, two hundred thirteen million, nine hundred fifty-seven thousand, one hundred twenty".