122044102411440 has 320 divisors, whose sum is σ = 414929604091392. Its totient is φ = 29429170176000.

The previous prime is 122044102411423. The next prime is 122044102411447. The reversal of 122044102411440 is 44114201440221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 122044102411398 and 122044102411407.

It is not an unprimeable number, because it can be changed into a prime (122044102411447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 475486179 + ... + 475742781.

Almost surely, 2^{122044102411440} is an apocalyptic number.

122044102411440 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 122044102411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207464802045696).

122044102411440 is an abundant number, since it is smaller than the sum of its proper divisors (292885501679952).

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

122044102411440 is a wasteful number, since it uses less digits than its factorization.

122044102411440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257588 (or 257582 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 122044102411440 its reverse (44114201440221), we get a palindrome (166158303851661).

The spelling of 122044102411440 in words is "one hundred twenty-two trillion, forty-four billion, one hundred two million, four hundred eleven thousand, four hundred forty".