21121122000120 has 64 divisors (see below), whose sum is σ = 63366502500000. Its totient is φ = 5632020400128.

The previous prime is 21121122000109. The next prime is 21121122000131. The reversal of 21121122000120 is 2100022112112.

It is an interprime number because it is at equal distance from previous prime (21121122000109) and next prime (21121122000131).

It is a super-2 number, since 2×21121122000120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21121122000120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1916245 + ... + 6776004.

Almost surely, 2^{21121122000120} is an apocalyptic number.

21121122000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121122000120 is an abundant number, since it is smaller than the sum of its proper divisors (42245380499880).

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

21121122000120 is a wasteful number, since it uses less digits than its factorization.

21121122000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8712512 (or 8712508 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21121122000120 its reverse (2100022112112), we get a palindrome (23221144112232).

The spelling of 21121122000120 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred twenty", and thus it is an aban number.