122121021002000 has 160 divisors (see below), whose sum is σ = 315469397892480. Its totient is φ = 45586730534400.

The previous prime is 122121021001957. The next prime is 122121021002011. The reversal of 122121021002000 is 200120121221.

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 31 ways as a sum of consecutive naturals, for example, 21436919 + ... + 26528918.

It is an arithmetic number, because the mean of its divisors is an integer number (1971683736828).

Almost surely, 2^{122121021002000} is an apocalyptic number.

122121021002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121021002000 is an abundant number, since it is smaller than the sum of its proper divisors (193348376890480).

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

122121021002000 is a wasteful number, since it uses less digits than its factorization.

122121021002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47965946 (or 47965930 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122121021002000 its reverse (200120121221), we get a palindrome (122321141123221).

The spelling of 122121021002000 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, twenty-one million, two thousand".