121100002312000 has 224 divisors, whose sum is σ = 305598944405664. Its totient is φ = 47520405504000.

The previous prime is 121100002311979. The next prime is 121100002312169. The reversal of 121100002312000 is 213200001121.

It can be written as a sum of positive squares in 16 ways, for example, as 64685602365696 + 56414399946304 = 8042736^2 + 7510952^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6772543060 + ... + 6772560940.

It is an arithmetic number, because the mean of its divisors is an integer number (1364281001811).

Almost surely, 2^{121100002312000} is an apocalyptic number.

121100002312000 is a gapful number since it is divisible by the number (10) 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 121100002312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152799472202832).

121100002312000 is an abundant number, since it is smaller than the sum of its proper divisors (184498942093664).

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

121100002312000 is a wasteful number, since it uses less digits than its factorization.

121100002312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33934 (or 33914 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 121100002312000 its reverse (213200001121), we get a palindrome (121313202313121).

The spelling of 121100002312000 in words is "one hundred twenty-one trillion, one hundred billion, two million, three hundred twelve thousand".