121221011221000 has 64 divisors (see below), whose sum is σ = 286259525838000. Its totient is φ = 48043556697600.

The previous prime is 121221011220971. The next prime is 121221011221061. The reversal of 121221011221000 is 122110122121.

It can be written as a sum of positive squares in 8 ways, for example, as 1859574050244 + 119361437170756 = 1363662^2 + 10925266^2 .

It is a super-2 number, since 2×121221011221000² (a number of 29 digits) contains 22 as substring.

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, 555950685 + ... + 556168684.

Almost surely, 2^{121221011221000} is an apocalyptic number.

121221011221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121221011221000 is an abundant number, since it is smaller than the sum of its proper divisors (165038514617000).

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

121221011221000 is a wasteful number, since it uses less digits than its factorization.

121221011221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112119499 (or 1112119485 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121221011221000 its reverse (122110122121), we get a palindrome (121343121343121).

The spelling of 121221011221000 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, eleven million, two hundred twenty-one thousand".