121221100122000 has 480 divisors, whose sum is σ = 408699301570560. Its totient is φ = 30908688588800.

The previous prime is 121221100121929. The next prime is 121221100122041. The reversal of 121221100122000 is 221001122121.

It is a super-2 number, since 2×121221100122000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11480352721 + ... + 11480363279.

It is an arithmetic number, because the mean of its divisors is an integer number (851456878272).

Almost surely, 2^{121221100122000} is an apocalyptic number.

121221100122000 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 121221100122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204349650785280).

121221100122000 is an abundant number, since it is smaller than the sum of its proper divisors (287478201448560).

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

121221100122000 is a wasteful number, since it uses less digits than its factorization.

121221100122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14248 (or 14209 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121221100122000 its reverse (221001122121), we get a palindrome (121442101244121).

The spelling of 121221100122000 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, one hundred million, one hundred twenty-two thousand".