1213141190976 has 1512 divisors, whose sum is σ = 4518759910392. Its totient is φ = 308831846400.

The previous prime is 1213141190957. The next prime is 1213141191109. The reversal of 1213141190976 is 6790911413121.

1213141190976 is a `hidden beast` number, since 12 + 131 + 411 + 9 + 0 + 97 + 6 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 745252358400 + 467888832576 = 863280^2 + 684024^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 10735762696 + ... + 10735762808.

Almost surely, 2^{1213141190976} is an apocalyptic number.

1213141190976 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 1213141190976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259379955196).

1213141190976 is an abundant number, since it is smaller than the sum of its proper divisors (3305618719416).

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

1213141190976 is a wasteful number, since it uses less digits than its factorization.

1213141190976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 1213141190976 in words is "one trillion, two hundred thirteen billion, one hundred forty-one million, one hundred ninety thousand, nine hundred seventy-six".