11973581402112 has 1664 divisors, whose sum is σ = 43118891827200. Its totient is φ = 3240787968000.

The previous prime is 11973581402099. The next prime is 11973581402113. The reversal of 11973581402112 is 21120418537911.

11973581402112 is a `hidden beast` number, since 1 + 1 + 9 + 7 + 3 + 581 + 40 + 21 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11973581402113) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53693190033 + ... + 53693190255.

Almost surely, 2^{11973581402112} is an apocalyptic number.

11973581402112 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 11973581402112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21559445913600).

11973581402112 is an abundant number, since it is smaller than the sum of its proper divisors (31145310425088).

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

11973581402112 is a wasteful number, since it uses less digits than its factorization.

11973581402112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 11973581402112 in words is "eleven trillion, nine hundred seventy-three billion, five hundred eighty-one million, four hundred two thousand, one hundred twelve".