122272001280 has 864 divisors, whose sum is σ = 515603088000. Its totient is φ = 27351613440.

The previous prime is 122272001261. The next prime is 122272001323. The reversal of 122272001280 is 82100272221.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44477346 + ... + 44480094.

Almost surely, 2^122272001280 is an apocalyptic number.

122272001280 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 122272001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257801544000).

122272001280 is an abundant number, since it is smaller than the sum of its proper divisors (393331086720).

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

122272001280 is a wasteful number, since it uses less digits than its factorization.

122272001280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2809 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 122272001280 in words is "one hundred twenty-two billion, two hundred seventy-two million, one thousand, two hundred eighty".