213342112401120 has 1152 divisors, whose sum is σ = 795819236179968. Its totient is φ = 53867288217600.

The previous prime is 213342112401059. The next prime is 213342112401167. The reversal of 213342112401120 is 21104211243312.

213342112401120 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 421 + 124 + 0 + 112 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51895427865 + ... + 51895431975.

It is an arithmetic number, because the mean of its divisors is an integer number (690815309184).

Almost surely, 2^{213342112401120} is an apocalyptic number.

213342112401120 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 213342112401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397909618089984).

213342112401120 is an abundant number, since it is smaller than the sum of its proper divisors (582477123778848).

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

213342112401120 is a wasteful number, since it uses less digits than its factorization.

213342112401120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4738 (or 4718 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 213342112401120 its reverse (21104211243312), we get a palindrome (234446323644432).

The spelling of 213342112401120 in words is "two hundred thirteen trillion, three hundred forty-two billion, one hundred twelve million, four hundred one thousand, one hundred twenty".