122120100020000 has 240 divisors, whose sum is σ = 305607637776672. Its totient is φ = 48010110720000.

The previous prime is 122120100019979. The next prime is 122120100020057. The reversal of 122120100020000 is 20001021221.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 593517140 + ... + 593722860.

Almost surely, 2^{122120100020000} is an apocalyptic number.

122120100020000 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 122120100020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152803818888336).

122120100020000 is an abundant number, since it is smaller than the sum of its proper divisors (183487537756672).

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

122120100020000 is an equidigital number, since it uses as much as digits as its factorization.

122120100020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206261 (or 206238 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122120100020000 its reverse (20001021221), we get a palindrome (122140101041221).

The spelling of 122120100020000 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred million, twenty thousand".