122020211012000 has 288 divisors, whose sum is σ = 348784951381776. Its totient is φ = 41831451648000.

The previous prime is 122020211011991. The next prime is 122020211012081. The reversal of 122020211012000 is 210112020221.

It can be written as a sum of positive squares in 8 ways, for example, as 67992360079504 + 54027850932496 = 8245748^2 + 7350364^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2595212492 + ... + 2595259508.

Almost surely, 2^{122020211012000} is an apocalyptic number.

122020211012000 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 122020211012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174392475690888).

122020211012000 is an abundant number, since it is smaller than the sum of its proper divisors (226764740369776).

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

122020211012000 is a wasteful number, since it uses less digits than its factorization.

122020211012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60297 (or 60272 counting only the distinct ones).

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

Adding to 122020211012000 its reverse (210112020221), we get a palindrome (122230323032221).

The spelling of 122020211012000 in words is "one hundred twenty-two trillion, twenty billion, two hundred eleven million, twelve thousand".