12151994400 has 864 divisors, whose sum is σ = 55893172608. Its totient is φ = 2410905600.

The previous prime is 12151994377. The next prime is 12151994401. The reversal of 12151994400 is 449915121.

It is a happy number.

12151994400 is a `hidden beast` number, since 1 + 21 + 5 + 199 + 440 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12151994401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11137855 + ... + 11138945.

It is an arithmetic number, because the mean of its divisors is an integer number (64691172).

Almost surely, 2^12151994400 is an apocalyptic number.

12151994400 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 12151994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27946586304).

12151994400 is an abundant number, since it is smaller than the sum of its proper divisors (43741178208).

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

12151994400 is a wasteful number, since it uses less digits than its factorization.

12151994400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 12151994400 in words is "twelve billion, one hundred fifty-one million, nine hundred ninety-four thousand, four hundred".