21120661520442 has 96 divisors (see below), whose sum is σ = 51364757860416. Its totient is φ = 6216820243200.

The previous prime is 21120661520423. The next prime is 21120661520447. The reversal of 21120661520442 is 24402516602112.

21120661520442 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 0 + 66 + 152 + 0 + 442 = 666.

It is a super-2 number, since 2×21120661520442² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21120661520397 and 21120661520406.

It is not an unprimeable number, because it can be changed into a prime (21120661520447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5311723 + ... + 8393790.

It is an arithmetic number, because the mean of its divisors is an integer number (535049561046).

Almost surely, 2^{21120661520442} is an apocalyptic number.

21120661520442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21120661520442 is an abundant number, since it is smaller than the sum of its proper divisors (30244096339974).

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

21120661520442 is a wasteful number, since it uses less digits than its factorization.

21120661520442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13705756 (or 13705753 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 21120661520442 in words is "twenty-one trillion, one hundred twenty billion, six hundred sixty-one million, five hundred twenty thousand, four hundred forty-two".