122190114816 has 520 divisors, whose sum is σ = 455181602304. Its totient is φ = 31731056640.

The previous prime is 122190114799. The next prime is 122190114853. The reversal of 122190114816 is 618411091221.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25544361 + ... + 25549143.

Almost surely, 2^122190114816 is an apocalyptic number.

122190114816 is a gapful number since it is divisible by the number (16) 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 122190114816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227590801152).

122190114816 is an abundant number, since it is smaller than the sum of its proper divisors (332991487488).

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

122190114816 is an equidigital number, since it uses as much as digits as its factorization.

122190114816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4837 (or 4806 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 122190114816 in words is "one hundred twenty-two billion, one hundred ninety million, one hundred fourteen thousand, eight hundred sixteen".