1196079616512 has 640 divisors, whose sum is σ = 3938297932800. Its totient is φ = 355398451200.

The previous prime is 1196079616499. The next prime is 1196079616559. The reversal of 1196079616512 is 2156169706911.

1196079616512 is a `hidden beast` number, since 1 + 1 + 9 + 6 + 0 + 7 + 9 + 616 + 5 + 12 = 666.

It is a super-3 number, since 3×1196079616512³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1932276939 + ... + 1932277557.

It is an arithmetic number, because the mean of its divisors is an integer number (6153590520).

Almost surely, 2^{1196079616512} is an apocalyptic number.

1196079616512 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 1196079616512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969148966400).

1196079616512 is an abundant number, since it is smaller than the sum of its proper divisors (2742218316288).

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

1196079616512 is a wasteful number, since it uses less digits than its factorization.

1196079616512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 1196079616512 in words is "one trillion, one hundred ninety-six billion, seventy-nine million, six hundred sixteen thousand, five hundred twelve".