20122149519360 has 1224 divisors, whose sum is σ = 85928755101696. Its totient is φ = 4328270069760.

The previous prime is 20122149519341. The next prime is 20122149519383. The reversal of 20122149519360 is 6391594122102.

It is a happy number.

20122149519360 is a `hidden beast` number, since 2 + 0 + 12 + 2 + 1 + 495 + 1 + 93 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1224).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2456612865 + ... + 2456621055.

Almost surely, 2^{20122149519360} is an apocalyptic number.

20122149519360 is a gapful number since it is divisible by the number (20) 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 20122149519360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42964377550848).

20122149519360 is an abundant number, since it is smaller than the sum of its proper divisors (65806605582336).

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

20122149519360 is an equidigital number, since it uses as much as digits as its factorization.

20122149519360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8265 (or 8225 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 20122149519360 in words is "twenty trillion, one hundred twenty-two billion, one hundred forty-nine million, five hundred nineteen thousand, three hundred sixty".