122282057514240 has 1728 divisors, whose sum is σ = 503697343968000. Its totient is φ = 28137110372352.

The previous prime is 122282057514193. The next prime is 122282057514341. The reversal of 122282057514240 is 42415750282221.

122282057514240 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 8 + 20 + 575 + 14 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10242230191 + ... + 10242242129.

It is an arithmetic number, because the mean of its divisors is an integer number (291491518500).

Almost surely, 2^{122282057514240} is an apocalyptic number.

122282057514240 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 122282057514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251848671984000).

122282057514240 is an abundant number, since it is smaller than the sum of its proper divisors (381415286453760).

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

122282057514240 is a wasteful number, since it uses less digits than its factorization.

122282057514240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12154 (or 12128 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 122282057514240 in words is "one hundred twenty-two trillion, two hundred eighty-two billion, fifty-seven million, five hundred fourteen thousand, two hundred forty".