22251001514130 has 128 divisors (see below), whose sum is σ = 59968097798400. Its totient is φ = 5870550546432.

The previous prime is 22251001514129. The next prime is 22251001514141. The reversal of 22251001514130 is 3141510015222.

It is a happy number.

22251001514130 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 10 + 0 + 1 + 514 + 130 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 22251001514094 and 22251001514103.

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 63 ways as a sum of consecutive naturals, for example, 19547202 + ... + 20654178.

It is an arithmetic number, because the mean of its divisors is an integer number (468500764050).

Almost surely, 2^{22251001514130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22251001514130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29984048899200).

22251001514130 is an abundant number, since it is smaller than the sum of its proper divisors (37717096284270).

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

22251001514130 is a wasteful number, since it uses less digits than its factorization.

22251001514130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107785 (or 1107779 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 22251001514130 its reverse (3141510015222), we get a palindrome (25392511529352).

The spelling of 22251001514130 in words is "twenty-two trillion, two hundred fifty-one billion, one million, five hundred fourteen thousand, one hundred thirty".