21121125535120 has 160 divisors (see below), whose sum is σ = 53062697520000. Its totient is φ = 7772268183552.

The previous prime is 21121125535109. The next prime is 21121125535163. The reversal of 21121125535120 is 2153552112112.

It is a super-2 number, since 2×21121125535120² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383483904 + ... + 383538976.

It is an arithmetic number, because the mean of its divisors is an integer number (331641859500).

Almost surely, 2^{21121125535120} is an apocalyptic number.

21121125535120 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 21121125535120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26531348760000).

21121125535120 is an abundant number, since it is smaller than the sum of its proper divisors (31941571984880).

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

21121125535120 is a wasteful number, since it uses less digits than its factorization.

21121125535120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56337 (or 56331 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 31.

Adding to 21121125535120 its reverse (2153552112112), we get a palindrome (23274677647232).

The spelling of 21121125535120 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred twenty-five million, five hundred thirty-five thousand, one hundred twenty".