20335122144 has 96 divisors (see below), whose sum is σ = 59778109440. Its totient is φ = 6724964736.

The previous prime is 20335122139. The next prime is 20335122167. The reversal of 20335122144 is 44122153302.

20335122144 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 512 + 2 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×20335122144² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17067 + ... + 202389.

It is an arithmetic number, because the mean of its divisors is an integer number (622688640).

Almost surely, 2^20335122144 is an apocalyptic number.

20335122144 is a gapful number since it is divisible by the number (24) 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 20335122144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29889054720).

20335122144 is an abundant number, since it is smaller than the sum of its proper divisors (39442987296).

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

20335122144 is a wasteful number, since it uses less digits than its factorization.

20335122144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185469 (or 185455 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 20335122144 its reverse (44122153302), we get a palindrome (64457275446).

The spelling of 20335122144 in words is "twenty billion, three hundred thirty-five million, one hundred twenty-two thousand, one hundred forty-four".