121122129292812 has 864 divisors, whose sum is σ = 352908620064000. Its totient is φ = 34943753714688.

The previous prime is 121122129292771. The next prime is 121122129292817. The reversal of 121122129292812 is 218292921221121.

121122129292812 is a `hidden beast` number, since 1 + 211 + 22 + 129 + 292 + 8 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (121122129292817) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 71290245939 + ... + 71290247637.

It is an arithmetic number, because the mean of its divisors is an integer number (408459051000).

Almost surely, 2^{121122129292812} is an apocalyptic number.

121122129292812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121122129292812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176454310032000).

121122129292812 is an abundant number, since it is smaller than the sum of its proper divisors (231786490771188).

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

121122129292812 is a wasteful number, since it uses less digits than its factorization.

121122129292812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1931 counting only the distinct ones).

The product of its digits is 82944, while the sum is 45.

The spelling of 121122129292812 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred twenty-nine million, two hundred ninety-two thousand, eight hundred twelve".