21122141544 has 288 divisors, whose sum is σ = 67928103360. Its totient is φ = 5807646720.

The previous prime is 21122141507. The next prime is 21122141587. The reversal of 21122141544 is 44514122112.

21122141544 is a `hidden beast` number, since 2 + 112 + 2 + 1 + 4 + 1 + 544 = 666.

It is a super-2 number, since 2×21122141544² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90652852 + ... + 90653084.

It is an arithmetic number, because the mean of its divisors is an integer number (235861470).

Almost surely, 2^21122141544 is an apocalyptic number.

21122141544 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 21122141544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33964051680).

21122141544 is an abundant number, since it is smaller than the sum of its proper divisors (46805961816).

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

21122141544 is a wasteful number, since it uses less digits than its factorization.

21122141544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 393 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

Adding to 21122141544 its reverse (44514122112), we get a palindrome (65636263656).

The spelling of 21122141544 in words is "twenty-one billion, one hundred twenty-two million, one hundred forty-one thousand, five hundred forty-four".