212022211011120 has 120 divisors (see below), whose sum is σ = 753926038609536. Its totient is φ = 53213417662464.

The previous prime is 212022211011073. The next prime is 212022211011131. The reversal of 212022211011120 is 21110112220212.

212022211011120 is a `hidden beast` number, since 21 + 202 + 221 + 101 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 212022211011093 and 212022211011102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8661025792 + ... + 8661050271.

Almost surely, 2^{212022211011120} is an apocalyptic number.

212022211011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212022211011120 is an abundant number, since it is smaller than the sum of its proper divisors (541903827598416).

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

212022211011120 is a wasteful number, since it uses less digits than its factorization.

212022211011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17322076099 (or 17322076090 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212022211011120 its reverse (21110112220212), we get a palindrome (233132323231332).

The spelling of 212022211011120 in words is "two hundred twelve trillion, twenty-two billion, two hundred eleven million, eleven thousand, one hundred twenty".