121200022020000 has 1920 divisors, whose sum is σ = 526297834782720. Its totient is φ = 23636090880000.

The previous prime is 121200022019977. The next prime is 121200022020019. The reversal of 121200022020000 is 20220002121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 30552058017 + ... + 30552061983.

It is an arithmetic number, because the mean of its divisors is an integer number (274113455616).

Almost surely, 2^{121200022020000} is an apocalyptic number.

121200022020000 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 121200022020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263148917391360).

121200022020000 is an abundant number, since it is smaller than the sum of its proper divisors (405097812762720).

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

121200022020000 is a wasteful number, since it uses less digits than its factorization.

121200022020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4424 (or 4401 counting only the distinct ones).

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

Adding to 121200022020000 its reverse (20220002121), we get a palindrome (121220242022121).

The spelling of 121200022020000 in words is "one hundred twenty-one trillion, two hundred billion, twenty-two million, twenty thousand".