1216130975136 has 1440 divisors, whose sum is σ = 4709237170176. Its totient is φ = 301018291200.

The previous prime is 1216130975119. The next prime is 1216130975173. The reversal of 1216130975136 is 6315790316121.

1216130975136 is a `hidden beast` number, since 1 + 2 + 16 + 1 + 30 + 97 + 513 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1216130975091 and 1216130975100.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7282221325 + ... + 7282221491.

Almost surely, 2^{1216130975136} is an apocalyptic number.

1216130975136 is a gapful number since it is divisible by the number (16) 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 1216130975136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354618585088).

1216130975136 is an abundant number, since it is smaller than the sum of its proper divisors (3493106195040).

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

1216130975136 is a wasteful number, since it uses less digits than its factorization.

1216130975136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 1216130975136 in words is "one trillion, two hundred sixteen billion, one hundred thirty million, nine hundred seventy-five thousand, one hundred thirty-six".