2117225392128 has 1152 divisors, whose sum is σ = 8066374243200. Its totient is φ = 549301616640.

The previous prime is 2117225392123. The next prime is 2117225392157. The reversal of 2117225392128 is 8212935227112.

2117225392128 is a `hidden beast` number, since 2 + 1 + 1 + 72 + 2 + 539 + 21 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×2117225392128² (a number of 25 digits) contains 22 as substring.

Its product of digits (241920) is a multiple of the sum of its prime factors (945).

It is not an unprimeable number, because it can be changed into a prime (2117225392123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2414167626 + ... + 2414168502.

It is an arithmetic number, because the mean of its divisors is an integer number (7002060975).

Almost surely, 2^{2117225392128} is an apocalyptic number.

2117225392128 is a gapful number since it is divisible by the number (28) 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 2117225392128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033187121600).

2117225392128 is an abundant number, since it is smaller than the sum of its proper divisors (5949148851072).

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

2117225392128 is an frugal number, since it uses more digits than its factorization.

2117225392128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 900 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 2117225392128 in words is "two trillion, one hundred seventeen billion, two hundred twenty-five million, three hundred ninety-two thousand, one hundred twenty-eight".