12614201400 has 192 divisors, whose sum is σ = 40298536800. Its totient is φ = 3262504960.

The previous prime is 12614201393. The next prime is 12614201401. The reversal of 12614201400 is 410241621.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12614201401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2827972 + ... + 2832428.

Almost surely, 2^12614201400 is an apocalyptic number.

12614201400 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 12614201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20149268400).

12614201400 is an abundant number, since it is smaller than the sum of its proper divisors (27684335400).

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

12614201400 is a wasteful number, since it uses less digits than its factorization.

12614201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4618 (or 4609 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The spelling of 12614201400 in words is "twelve billion, six hundred fourteen million, two hundred one thousand, four hundred".