22121631584880 has 160 divisors (see below), whose sum is σ = 68662208432640. Its totient is φ = 5891780643840.

The previous prime is 22121631584879. The next prime is 22121631584881. The reversal of 22121631584880 is 8848513612122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22121631584879) and next prime (22121631584881).

It is a super-2 number, since 2×22121631584880² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121631584881) 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 31 ways as a sum of consecutive naturals, for example, 920993511 + ... + 921017529.

It is an arithmetic number, because the mean of its divisors is an integer number (429138802704).

Almost surely, 2^{22121631584880} is an apocalyptic number.

22121631584880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121631584880 is an abundant number, since it is smaller than the sum of its proper divisors (46540576847760).

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

22121631584880 is a wasteful number, since it uses less digits than its factorization.

22121631584880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28639 (or 28633 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 51.

The spelling of 22121631584880 in words is "twenty-two trillion, one hundred twenty-one billion, six hundred thirty-one million, five hundred eighty-four thousand, eight hundred eighty".