16122022963200 has 3456 divisors, whose sum is σ = 76179186720000. Its totient is φ = 3338108928000.

The previous prime is 16122022963177. The next prime is 16122022963219. The reversal of 16122022963200 is 236922022161.

16122022963200 is a `hidden beast` number, since 1 + 6 + 1 + 220 + 22 + 96 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 57373747060 + ... + 57373747340.

It is an arithmetic number, because the mean of its divisors is an integer number (22042588750).

Almost surely, 2^{16122022963200} is an apocalyptic number.

16122022963200 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 16122022963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38089593360000).

16122022963200 is an abundant number, since it is smaller than the sum of its proper divisors (60057163756800).

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

16122022963200 is a wasteful number, since it uses less digits than its factorization.

16122022963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 16122022963200 its reverse (236922022161), we get a palindrome (16358944985361).

The spelling of 16122022963200 in words is "sixteen trillion, one hundred twenty-two billion, twenty-two million, nine hundred sixty-three thousand, two hundred".