16122186202920 has 256 divisors, whose sum is σ = 57000247050240. Its totient is φ = 3571648293888.

The previous prime is 16122186202919. The next prime is 16122186202921. The reversal of 16122186202920 is 2920268122161.

It is an interprime number because it is at equal distance from previous prime (16122186202919) and next prime (16122186202921).

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

It is not an unprimeable number, because it can be changed into a prime (16122186202921) 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, 2084094 + ... + 6048786.

It is an arithmetic number, because the mean of its divisors is an integer number (222657215040).

Almost surely, 2^{16122186202920} is an apocalyptic number.

16122186202920 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 16122186202920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28500123525120).

16122186202920 is an abundant number, since it is smaller than the sum of its proper divisors (40878060847320).

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

16122186202920 is a wasteful number, since it uses less digits than its factorization.

16122186202920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964864 (or 3964860 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 16122186202920 in words is "sixteen trillion, one hundred twenty-two billion, one hundred eighty-six million, two hundred two thousand, nine hundred twenty".