212252225155120 has 320 divisors, whose sum is σ = 524327012352000. Its totient is φ = 79741733879808.

The previous prime is 212252225155093. The next prime is 212252225155127. The reversal of 212252225155120 is 21551522252212.

It is a self number, because there is not a number n which added to its sum of digits gives 212252225155120.

It is not an unprimeable number, because it can be changed into a prime (212252225155127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29773067716 + ... + 29773074844.

It is an arithmetic number, because the mean of its divisors is an integer number (1638521913600).

Almost surely, 2^{212252225155120} is an apocalyptic number.

212252225155120 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 212252225155120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262163506176000).

212252225155120 is an abundant number, since it is smaller than the sum of its proper divisors (312074787196880).

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

212252225155120 is a wasteful number, since it uses less digits than its factorization.

212252225155120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8340 (or 8334 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 37.

The spelling of 212252225155120 in words is "two hundred twelve trillion, two hundred fifty-two billion, two hundred twenty-five million, one hundred fifty-five thousand, one hundred twenty".