2172120146352 has 240 divisors, whose sum is σ = 6606747155008. Its totient is φ = 662224066560.

The previous prime is 2172120146351. The next prime is 2172120146369. The reversal of 2172120146352 is 2536410212712.

2172120146352 is a `hidden beast` number, since 2 + 1 + 7 + 2 + 1 + 2 + 0 + 14 + 635 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2172120146351) 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, 93844893 + ... + 93868035.

Almost surely, 2^{2172120146352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2172120146352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303373577504).

2172120146352 is an abundant number, since it is smaller than the sum of its proper divisors (4434627008656).

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

2172120146352 is a wasteful number, since it uses less digits than its factorization.

2172120146352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23628 (or 23619 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 2172120146352 in words is "two trillion, one hundred seventy-two billion, one hundred twenty million, one hundred forty-six thousand, three hundred fifty-two".