120202101200 has 60 divisors (see below), whose sum is σ = 290893604460. Its totient is φ = 47729863680.

The previous prime is 120202101193. The next prime is 120202101251. The reversal of 120202101200 is 2101202021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2627177536 + 117574923664 = 51256^2 + 342892^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1041935 + ... + 1151534.

It is an arithmetic number, because the mean of its divisors is an integer number (4848226741).

Almost surely, 2^120202101200 is an apocalyptic number.

120202101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120202101200 is an abundant number, since it is smaller than the sum of its proper divisors (170691503260).

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

120202101200 is a wasteful number, since it uses less digits than its factorization.

120202101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193624 (or 2193613 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 120202101200 its reverse (2101202021), we get a palindrome (122303303221).

The spelling of 120202101200 in words is "one hundred twenty billion, two hundred two million, one hundred one thousand, two hundred".