122102001120000 has 720 divisors, whose sum is σ = 444419615299968. Its totient is φ = 29505515520000.

The previous prime is 122102001119999. The next prime is 122102001120089. The reversal of 122102001120000 is 21100201221.

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 79 ways as a sum of consecutive naturals, for example, 1652603059 + ... + 1652676941.

Almost surely, 2^{122102001120000} is an apocalyptic number.

122102001120000 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 122102001120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222209807649984).

122102001120000 is an abundant number, since it is smaller than the sum of its proper divisors (322317614179968).

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

122102001120000 is an equidigital number, since it uses as much as digits as its factorization.

122102001120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74246 (or 74217 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122102001120000 its reverse (21100201221), we get a palindrome (122123101321221).

The spelling of 122102001120000 in words is "one hundred twenty-two trillion, one hundred two billion, one million, one hundred twenty thousand".