221312120130000 has 400 divisors, whose sum is σ = 798394231314240. Its totient is φ = 58675416768000.

The previous prime is 221312120129987. The next prime is 221312120130043. The reversal of 221312120130000 is 31021213122.

221312120130000 is a `hidden beast` number, since 22 + 131 + 212 + 0 + 1 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44340999 + ... + 49079001.

Almost surely, 2^{221312120130000} is an apocalyptic number.

221312120130000 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 221312120130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399197115657120).

221312120130000 is an abundant number, since it is smaller than the sum of its proper divisors (577082111184240).

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

221312120130000 is a wasteful number, since it uses less digits than its factorization.

221312120130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4738213 (or 4738186 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 221312120130000 its reverse (31021213122), we get a palindrome (221343141343122).

The spelling of 221312120130000 in words is "two hundred twenty-one trillion, three hundred twelve billion, one hundred twenty million, one hundred thirty thousand".