22121121132000 has 576 divisors, whose sum is σ = 87260961977280. Its totient is φ = 5261508096000.

The previous prime is 22121121131957. The next prime is 22121121132043. The reversal of 22121121132000 is 23112112122.

22121121132000 is a `hidden beast` number, since 221 + 2 + 1 + 121 + 1 + 320 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22121121131957) and next prime (22121121132043).

It is a super-2 number, since 2×22121121132000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20461006 + ... + 21514994.

It is an arithmetic number, because the mean of its divisors is an integer number (151494725655).

Almost surely, 2^{22121121132000} is an apocalyptic number.

22121121132000 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 22121121132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43630480988640).

22121121132000 is an abundant number, since it is smaller than the sum of its proper divisors (65139840845280).

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

22121121132000 is a wasteful number, since it uses less digits than its factorization.

22121121132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054084 (or 1054063 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 22121121132000 its reverse (23112112122), we get a palindrome (22144233244122).

The spelling of 22121121132000 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred thirty-two thousand".