120121212202000 has 80 divisors (see below), whose sum is σ = 290462063581872. Its totient is φ = 48047000601600.

The previous prime is 120121212201973. The next prime is 120121212202091. The reversal of 120121212202000 is 202212121021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4234178674944 + 115887033527056 = 2057712^2 + 10765084^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65002804 + ... + 66825196.

Almost surely, 2^{120121212202000} is an apocalyptic number.

120121212202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120121212202000 is an abundant number, since it is smaller than the sum of its proper divisors (170340851379872).

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

120121212202000 is a wasteful number, since it uses less digits than its factorization.

120121212202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855373 (or 1855357 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120121212202000 its reverse (202212121021), we get a palindrome (120323424323021).

The spelling of 120121212202000 in words is "one hundred twenty trillion, one hundred twenty-one billion, two hundred twelve million, two hundred two thousand".