214701035120 has 240 divisors, whose sum is σ = 621998418720. Its totient is φ = 68273694720.

The previous prime is 214701035113. The next prime is 214701035137. The reversal of 214701035120 is 21530107412.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 214701035120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2346062 + ... + 2435858.

It is an arithmetic number, because the mean of its divisors is an integer number (2591660078).

Almost surely, 2^214701035120 is an apocalyptic number.

214701035120 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 214701035120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310999209360).

214701035120 is an abundant number, since it is smaller than the sum of its proper divisors (407297383600).

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

214701035120 is a wasteful number, since it uses less digits than its factorization.

214701035120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89864 (or 89847 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The spelling of 214701035120 in words is "two hundred fourteen billion, seven hundred one million, thirty-five thousand, one hundred twenty".