21001222131120 has 480 divisors, whose sum is σ = 87946346502144. Its totient is φ = 4363197696000.

The previous prime is 21001222131089. The next prime is 21001222131157. The reversal of 21001222131120 is 2113122210012.

21001222131120 is a `hidden beast` number, since 2 + 100 + 12 + 221 + 311 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21001222131093 and 21001222131102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 396424954 + ... + 396477926.

Almost surely, 2^{21001222131120} is an apocalyptic number.

21001222131120 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 21001222131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43973173251072).

21001222131120 is an abundant number, since it is smaller than the sum of its proper divisors (66945124371024).

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

21001222131120 is a wasteful number, since it uses less digits than its factorization.

21001222131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60161 (or 60152 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21001222131120 its reverse (2113122210012), we get a palindrome (23114344341132).

The spelling of 21001222131120 in words is "twenty-one trillion, one billion, two hundred twenty-two million, one hundred thirty-one thousand, one hundred twenty".