12151894400 has 96 divisors (see below), whose sum is σ = 30155361600. Its totient is φ = 4838676480.

The previous prime is 12151894397. The next prime is 12151894427. The reversal of 12151894400 is 449815121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 705086 + ... + 722114.

It is an arithmetic number, because the mean of its divisors is an integer number (314118350).

Almost surely, 2^12151894400 is an apocalyptic number.

12151894400 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 12151894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15077680800).

12151894400 is an abundant number, since it is smaller than the sum of its proper divisors (18003467200).

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

12151894400 is a wasteful number, since it uses less digits than its factorization.

12151894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17276 (or 17259 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The spelling of 12151894400 in words is "twelve billion, one hundred fifty-one million, eight hundred ninety-four thousand, four hundred".