200121120122000 has 320 divisors, whose sum is σ = 604814824373760. Its totient is φ = 62218278144000.

The previous prime is 200121120121997. The next prime is 200121120122101. The reversal of 200121120122000 is 221021121002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59501366 + ... + 62774634.

It is an arithmetic number, because the mean of its divisors is an integer number (1890046326168).

Almost surely, 2^{200121120122000} is an apocalyptic number.

200121120122000 is a gapful number since it is divisible by the number (20) 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 200121120122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302407412186880).

200121120122000 is an abundant number, since it is smaller than the sum of its proper divisors (404693704251760).

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

200121120122000 is a wasteful number, since it uses less digits than its factorization.

200121120122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3273707 (or 3273691 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200121120122000 its reverse (221021121002), we get a palindrome (200342141243002).

The spelling of 200121120122000 in words is "two hundred trillion, one hundred twenty-one billion, one hundred twenty million, one hundred twenty-two thousand".