16212959700 has 576 divisors, whose sum is σ = 58364264448. Its totient is φ = 3396556800.

The previous prime is 16212959689. The next prime is 16212959701. The reversal of 16212959700 is 795921261.

16212959700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16212959701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 127661037 + ... + 127661163.

It is an arithmetic number, because the mean of its divisors is an integer number (101326848).

Almost surely, 2^16212959700 is an apocalyptic number.

16212959700 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 16212959700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29182132224).

16212959700 is an abundant number, since it is smaller than the sum of its proper divisors (42151304748).

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

16212959700 is a wasteful number, since it uses less digits than its factorization.

16212959700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The spelling of 16212959700 in words is "sixteen billion, two hundred twelve million, nine hundred fifty-nine thousand, seven hundred".