221412300137600 has 384 divisors, whose sum is σ = 642665106175680. Its totient is φ = 74310314803200.

The previous prime is 221412300137591. The next prime is 221412300137603. The reversal of 221412300137600 is 6731003214122.

221412300137600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (221412300137603) 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, 3970567319 + ... + 3970623081.

Almost surely, 2^{221412300137600} is an apocalyptic number.

221412300137600 is a gapful number since it is divisible by the number (20) 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 221412300137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321332553087840).

221412300137600 is an abundant number, since it is smaller than the sum of its proper divisors (421252806038080).

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

221412300137600 is a wasteful number, since it uses less digits than its factorization.

221412300137600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64488 (or 64471 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 221412300137600 in words is "two hundred twenty-one trillion, four hundred twelve billion, three hundred million, one hundred thirty-seven thousand, six hundred".