120021020222112 has 72 divisors (see below), whose sum is σ = 353079078910740. Its totient is φ = 38627454781440.

The previous prime is 120021020222101. The next prime is 120021020222143. The reversal of 120021020222112 is 211222020120021.

It is a happy number.

120021020222112 is a `hidden beast` number, since 1 + 20 + 0 + 210 + 202 + 221 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 118496200275216 + 1524819946896 = 10885596^2 + 1234836^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7185158089 + ... + 7185174792.

Almost surely, 2^{120021020222112} is an apocalyptic number.

120021020222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120021020222112 is an abundant number, since it is smaller than the sum of its proper divisors (233058058688628).

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

120021020222112 is a wasteful number, since it uses less digits than its factorization.

120021020222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14370332926 (or 14370332915 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120021020222112 its reverse (211222020120021), we get a palindrome (331243040342133).

The spelling of 120021020222112 in words is "one hundred twenty trillion, twenty-one billion, twenty million, two hundred twenty-two thousand, one hundred twelve".