2122127331156 has 432 divisors, whose sum is σ = 6395167658880. Its totient is φ = 591510366720.

The previous prime is 2122127331131. The next prime is 2122127331161. The reversal of 2122127331156 is 6511337212212.

2122127331156 is a `hidden beast` number, since 2 + 1 + 2 + 21 + 273 + 311 + 56 = 666.

It is a super-3 number, since 3×2122127331156³ (a number of 38 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2122127331156.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4357550745 + ... + 4357551231.

It is an arithmetic number, because the mean of its divisors is an integer number (14803628840).

Almost surely, 2^{2122127331156} 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 2122127331156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197583829440).

2122127331156 is an abundant number, since it is smaller than the sum of its proper divisors (4273040327724).

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

2122127331156 is a wasteful number, since it uses less digits than its factorization.

2122127331156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 912 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The spelling of 2122127331156 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-seven million, three hundred thirty-one thousand, one hundred fifty-six".