12115401984 has 720 divisors, whose sum is σ = 45586759680. Its totient is φ = 3120353280.

The previous prime is 12115401979. The next prime is 12115401997. The reversal of 12115401984 is 48910451121.

12115401984 is a `hidden beast` number, since 1 + 21 + 1 + 540 + 1 + 98 + 4 = 666.

It is a super-2 number, since 2×12115401984² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63431329 + ... + 63431519.

It is an arithmetic number, because the mean of its divisors is an integer number (63314944).

Almost surely, 2^12115401984 is an apocalyptic number.

12115401984 is a gapful number since it is divisible by the number (14) 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 12115401984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22793379840).

12115401984 is an abundant number, since it is smaller than the sum of its proper divisors (33471357696).

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

12115401984 is a wasteful number, since it uses less digits than its factorization.

12115401984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 12115401984 in words is "twelve billion, one hundred fifteen million, four hundred one thousand, nine hundred eighty-four".