122207400000 has 1344 divisors, whose sum is σ = 531460984320. Its totient is φ = 26956800000.

The previous prime is 122207399987. The next prime is 122207400017. The reversal of 122207400000 is 4702221.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×122207400000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 191 ways as a sum of consecutive naturals, for example, 2003399970 + ... + 2003400030.

It is an arithmetic number, because the mean of its divisors is an integer number (395432280).

Almost surely, 2^122207400000 is an apocalyptic number.

122207400000 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 122207400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265730492160).

122207400000 is an abundant number, since it is smaller than the sum of its proper divisors (409253584320).

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

122207400000 is an frugal number, since it uses more digits than its factorization.

122207400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The spelling of 122207400000 in words is "one hundred twenty-two billion, two hundred seven million, four hundred thousand".