121221100011000 has 256 divisors, whose sum is σ = 416677630187520. Its totient is φ = 29095972800000.

The previous prime is 121221100010987. The next prime is 121221100011007. The reversal of 121221100011000 is 110001122121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121221100011007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14851984 + ... + 21517983.

It is an arithmetic number, because the mean of its divisors is an integer number (1627646992920).

Almost surely, 2^{121221100011000} is an apocalyptic number.

121221100011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121221100011000 is an abundant number, since it is smaller than the sum of its proper divisors (295456530176520).

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

121221100011000 is a wasteful number, since it uses less digits than its factorization.

121221100011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36370103 (or 36370089 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121221100011000 its reverse (110001122121), we get a palindrome (121331101133121).

The spelling of 121221100011000 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, one hundred million, eleven thousand".