22121055142000 has 160 divisors (see below), whose sum is σ = 54546923059200. Its totient is φ = 8674202528000.

The previous prime is 22121055141989. The next prime is 22121055142001. The reversal of 22121055142000 is 24155012122.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121055142001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42100905 + ... + 42623095.

It is an arithmetic number, because the mean of its divisors is an integer number (340918269120).

Almost surely, 2^{22121055142000} is an apocalyptic number.

22121055142000 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 22121055142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27273461529600).

22121055142000 is an abundant number, since it is smaller than the sum of its proper divisors (32425867917200).

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

22121055142000 is a wasteful number, since it uses less digits than its factorization.

22121055142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522632 (or 522616 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The spelling of 22121055142000 in words is "twenty-two trillion, one hundred twenty-one billion, fifty-five million, one hundred forty-two thousand".