12154748800 has 96 divisors (see below), whose sum is σ = 30162444480. Its totient is φ = 4839813120.

The previous prime is 12154748783. The next prime is 12154748803. The reversal of 12154748800 is 884745121.

It is a super-2 number, since 2×12154748800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12154748803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 705084 + ... + 722116.

It is an arithmetic number, because the mean of its divisors is an integer number (314192130).

Almost surely, 2^12154748800 is an apocalyptic number.

12154748800 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 12154748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15081222240).

12154748800 is an abundant number, since it is smaller than the sum of its proper divisors (18007695680).

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

12154748800 is a wasteful number, since it uses less digits than its factorization.

12154748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17280 (or 17263 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The spelling of 12154748800 in words is "twelve billion, one hundred fifty-four million, seven hundred forty-eight thousand, eight hundred".