122121851680 has 96 divisors (see below), whose sum is σ = 292836757248. Its totient is φ = 48117888000.

The previous prime is 122121851659. The next prime is 122121851689. The reversal of 122121851680 is 86158121221.

It is not an unprimeable number, because it can be changed into a prime (122121851689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14775229 + ... + 14783491.

It is an arithmetic number, because the mean of its divisors is an integer number (3050382888).

Almost surely, 2^122121851680 is an apocalyptic number.

122121851680 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 122121851680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146418378624).

122121851680 is an abundant number, since it is smaller than the sum of its proper divisors (170714905568).

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

122121851680 is a wasteful number, since it uses less digits than its factorization.

122121851680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9650 (or 9642 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 37.

The spelling of 122121851680 in words is "one hundred twenty-two billion, one hundred twenty-one million, eight hundred fifty-one thousand, six hundred eighty".