16121100000 has 576 divisors, whose sum is σ = 58468132800. Its totient is φ = 3870720000.

The previous prime is 16121099999. The next prime is 16121100013. The reversal of 16121100000 is 112161.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 147899946 + ... + 147900054.

It is an arithmetic number, because the mean of its divisors is an integer number (101507175).

Almost surely, 2^16121100000 is an apocalyptic number.

16121100000 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 16121100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29234066400).

16121100000 is an abundant number, since it is smaller than the sum of its proper divisors (42347032800).

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

16121100000 is a wasteful number, since it uses less digits than its factorization.

16121100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 16121100000 its reverse (112161), we get a palindrome (16121212161).

The spelling of 16121100000 in words is "sixteen billion, one hundred twenty-one million, one hundred thousand".