121001212221000 has 512 divisors, whose sum is σ = 389045344896000. Its totient is φ = 31288384512000.

The previous prime is 121001212220969. The next prime is 121001212221049. The reversal of 121001212221000 is 122212100121.

121001212221000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52358809845 + ... + 52358812155.

It is an arithmetic number, because the mean of its divisors is an integer number (759854189250).

Almost surely, 2^{121001212221000} is an apocalyptic number.

121001212221000 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 121001212221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194522672448000).

121001212221000 is an abundant number, since it is smaller than the sum of its proper divisors (268044132675000).

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

121001212221000 is a wasteful number, since it uses less digits than its factorization.

121001212221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3770 (or 3756 counting only the distinct ones).

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

Adding to 121001212221000 its reverse (122212100121), we get a palindrome (121123424321121).

The spelling of 121001212221000 in words is "one hundred twenty-one trillion, one billion, two hundred twelve million, two hundred twenty-one thousand".