120202212120192 has 96 divisors (see below), whose sum is σ = 345979658552580. Its totient is φ = 40057526366208.

The previous prime is 120202212120191. The next prime is 120202212120217. The reversal of 120202212120192 is 291021212202021.

120202212120192 is a `hidden beast` number, since 1 + 20 + 20 + 221 + 212 + 0 + 192 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 118336627653696 + 1865584466496 = 10878264^2 + 1365864^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (120202212120191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8185863 + ... + 17533190.

Almost surely, 2^{120202212120192} is an apocalyptic number.

120202212120192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120202212120192 is an abundant number, since it is smaller than the sum of its proper divisors (225777446432388).

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

120202212120192 is a wasteful number, since it uses less digits than its factorization.

120202212120192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25723130 (or 25723115 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 120202212120192 in words is "one hundred twenty trillion, two hundred two billion, two hundred twelve million, one hundred twenty thousand, one hundred ninety-two".