1162157981712 has 960 divisors, whose sum is σ = 3976248360960. Its totient is φ = 285957734400.

The previous prime is 1162157981711. The next prime is 1162157981713. The reversal of 1162157981712 is 2171897512611.

It is an interprime number because it is at equal distance from previous prime (1162157981711) and next prime (1162157981713).

It is a super-2 number, since 2×1162157981712² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1162157981711) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8482904908 + ... + 8482905044.

It is an arithmetic number, because the mean of its divisors is an integer number (4141925376).

Almost surely, 2^{1162157981712} is an apocalyptic number.

1162157981712 is a gapful number since it is divisible by the number (12) 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 1162157981712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988124180480).

1162157981712 is an abundant number, since it is smaller than the sum of its proper divisors (2814090379248).

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

1162157981712 is a wasteful number, since it uses less digits than its factorization.

1162157981712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 333 counting only the distinct ones).

The product of its digits is 423360, while the sum is 51.

The spelling of 1162157981712 in words is "one trillion, one hundred sixty-two billion, one hundred fifty-seven million, nine hundred eighty-one thousand, seven hundred twelve".