16121613150720 has 5040 divisors, whose sum is σ = 78120453970944. Its totient is φ = 3172906598400.

The previous prime is 16121613150703. The next prime is 16121613150749. The reversal of 16121613150720 is 2705131612161.

16121613150720 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 1 + 613 + 15 + 0 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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 503 ways as a sum of consecutive naturals, for example, 343013045737 + ... + 343013045783.

Almost surely, 2^{16121613150720} is an apocalyptic number.

16121613150720 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 16121613150720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39060226985472).

16121613150720 is an abundant number, since it is smaller than the sum of its proper divisors (61998840820224).

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

16121613150720 is an equidigital number, since it uses as much as digits as its factorization.

16121613150720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Adding to 16121613150720 its reverse (2705131612161), we get a palindrome (18826744762881).

The spelling of 16121613150720 in words is "sixteen trillion, one hundred twenty-one billion, six hundred thirteen million, one hundred fifty thousand, seven hundred twenty".