16122233808240 has 480 divisors, whose sum is σ = 58715028140544. Its totient is φ = 3648594216960.

The previous prime is 16122233808167. The next prime is 16122233808271. The reversal of 16122233808240 is 4280833222161.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 16122233808192 and 16122233808201.

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, 4115962762 + ... + 4115966678.

Almost surely, 2^{16122233808240} is an apocalyptic number.

16122233808240 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 16122233808240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29357514070272).

16122233808240 is an abundant number, since it is smaller than the sum of its proper divisors (42592794332304).

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

16122233808240 is a wasteful number, since it uses less digits than its factorization.

16122233808240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7325 (or 7312 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 16122233808240 in words is "sixteen trillion, one hundred twenty-two billion, two hundred thirty-three million, eight hundred eight thousand, two hundred forty".