12016649165400 has 960 divisors, whose sum is σ = 47375517103200. Its totient is φ = 2796208128000.

The previous prime is 12016649165357. The next prime is 12016649165441. The reversal of 12016649165400 is 456194661021.

12016649165400 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 66 + 49 + 1 + 6 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 894022680 + ... + 894036120.

Almost surely, 2^{12016649165400} is an apocalyptic number.

12016649165400 is a gapful number since it is divisible by the number (10) 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 12016649165400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23687758551600).

12016649165400 is an abundant number, since it is smaller than the sum of its proper divisors (35358867937800).

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

12016649165400 is a wasteful number, since it uses less digits than its factorization.

12016649165400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13682 (or 13664 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 12016649165400 in words is "twelve trillion, sixteen billion, six hundred forty-nine million, one hundred sixty-five thousand, four hundred".