2122212021972 has 144 divisors (see below), whose sum is σ = 5886143198208. Its totient is φ = 593113026240.

The previous prime is 2122212021971. The next prime is 2122212022027. The reversal of 2122212021972 is 2791202122212.

It is a super-2 number, since 2×2122212021972² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122212021971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51575847 + ... + 51616977.

It is an arithmetic number, because the mean of its divisors is an integer number (40875994432).

Almost surely, 2^{2122212021972} 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 2122212021972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943071599104).

2122212021972 is an abundant number, since it is smaller than the sum of its proper divisors (3763931176236).

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

2122212021972 is a wasteful number, since it uses less digits than its factorization.

2122212021972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43066 (or 43057 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 2122212021972 in words is "two trillion, one hundred twenty-two billion, two hundred twelve million, twenty-one thousand, nine hundred seventy-two".