121022200200000 has 1344 divisors, whose sum is σ = 442827007257600. Its totient is φ = 28924262400000.

The previous prime is 121022200199993. The next prime is 121022200200007. The reversal of 121022200200000 is 2002220121.

It is an interprime number because it is at equal distance from previous prime (121022200199993) and next prime (121022200200007).

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 (121022200200007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 288835799791 + ... + 288835800209.

It is an arithmetic number, because the mean of its divisors is an integer number (329484380400).

Almost surely, 2^{121022200200000} is an apocalyptic number.

121022200200000 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 121022200200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221413503628800).

121022200200000 is an abundant number, since it is smaller than the sum of its proper divisors (321804807057600).

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

121022200200000 is a wasteful number, since it uses less digits than its factorization.

121022200200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 121022200200000 its reverse (2002220121), we get a palindrome (121024202420121).

The spelling of 121022200200000 in words is "one hundred twenty-one trillion, twenty-two billion, two hundred million, two hundred thousand".