12401292400 has 180 divisors, whose sum is σ = 36483673080. Its totient is φ = 4027968000.

The previous prime is 12401292269. The next prime is 12401292401. The reversal of 12401292400 is 429210421.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12401292401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 355750 + ... + 389050.

Almost surely, 2^12401292400 is an apocalyptic number.

12401292400 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 12401292400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18241836540).

12401292400 is an abundant number, since it is smaller than the sum of its proper divisors (24082380680).

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

12401292400 is a wasteful number, since it uses less digits than its factorization.

12401292400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33352 (or 33334 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 12401292400 in words is "twelve billion, four hundred one million, two hundred ninety-two thousand, four hundred".