122281896240 has 480 divisors, whose sum is σ = 515352015360. Its totient is φ = 26305523712.

The previous prime is 122281896229. The next prime is 122281896241. The reversal of 122281896240 is 42698182221.

122281896240 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 8 + 18 + 9 + 624 + 0 = 666.

It is a super-2 number, since 2×122281896240² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (122281896241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2286931 + ... + 2339789.

It is an arithmetic number, because the mean of its divisors is an integer number (1073650032).

Almost surely, 2^122281896240 is an apocalyptic number.

122281896240 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 122281896240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257676007680).

122281896240 is an abundant number, since it is smaller than the sum of its proper divisors (393070119120).

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

122281896240 is a wasteful number, since it uses less digits than its factorization.

122281896240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52911 (or 52893 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 122281896240 in words is "one hundred twenty-two billion, two hundred eighty-one million, eight hundred ninety-six thousand, two hundred forty".