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1222672439664 = 243313379760661
BaseRepresentation
bin10001110010101100111…
…101001101100101110000
311022212221010220101021000
4101302230331031211300
5130013013121032124
62333404333402000
7154222651155144
oct21625475154560
94285833811230
101222672439664
11431594798635
12178b66639300
138b3b3849690
144326b70b224
1521c103956c9
hex11cacf4d970

1222672439664 has 320 divisors, whose sum is σ = 3921715799680. Its totient is φ = 362259578880.

The previous prime is 1222672439629. The next prime is 1222672439699. The reversal of 1222672439664 is 4669342762221.

1222672439664 is a `hidden beast` number, since 1 + 2 + 226 + 7 + 24 + 396 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1222672439629) and next prime (1222672439699).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1222672439664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20125494 + ... + 20186154.

It is an arithmetic number, because the mean of its divisors is an integer number (12255361874).

Almost surely, 21222672439664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222672439664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960857899840).

1222672439664 is an abundant number, since it is smaller than the sum of its proper divisors (2699043360016).

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

1222672439664 is a wasteful number, since it uses less digits than its factorization.

1222672439664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60825 (or 60813 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 1222672439664 in words is "one trillion, two hundred twenty-two billion, six hundred seventy-two million, four hundred thirty-nine thousand, six hundred sixty-four".