121122010020000 has 240 divisors, whose sum is σ = 433423003017312. Its totient is φ = 29362911360000.

The previous prime is 121122010019921. The next prime is 121122010020061. The reversal of 121122010020000 is 20010221121.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×121122010020000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 91099099 + ... + 92419098.

Almost surely, 2^{121122010020000} is an apocalyptic number.

121122010020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121122010020000 is an abundant number, since it is smaller than the sum of its proper divisors (312300992997312).

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

121122010020000 is a wasteful number, since it uses less digits than its factorization.

121122010020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183518241 (or 183518218 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121122010020000 its reverse (20010221121), we get a palindrome (121142020241121).

The spelling of 121122010020000 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, ten million, twenty thousand".