12427353400 has 144 divisors (see below), whose sum is σ = 36296583120. Its totient is φ = 3873408000.

The previous prime is 12427353397. The next prime is 12427353401. The reversal of 12427353400 is 435372421.

It is a happy number.

It is a super-2 number, since 2×12427353400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12427353401) 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, 132720 + ... + 206080.

It is an arithmetic number, because the mean of its divisors is an integer number (252059605).

Almost surely, 2^12427353400 is an apocalyptic number.

12427353400 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 12427353400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18148291560).

12427353400 is an abundant number, since it is smaller than the sum of its proper divisors (23869229720).

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

12427353400 is a wasteful number, since it uses less digits than its factorization.

12427353400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73406 (or 73386 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The spelling of 12427353400 in words is "twelve billion, four hundred twenty-seven million, three hundred fifty-three thousand, four hundred".