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12144002022 = 2327110788807
BaseRepresentation
bin10110100111101011…
…01100001111100110
31011100100002012222200
423103311230033212
5144332331031042
65325012035330
7606640212465
oct132365541746
934310065880
1012144002022
115171a77509
12242b002b46
1311b6c43619
14832bc49dc
154b1217c4c
hex2d3d6c3e6

12144002022 has 48 divisors (see below), whose sum is σ = 26932269312. Its totient is φ = 3953643120.

The previous prime is 12144002021. The next prime is 12144002023. The reversal of 12144002022 is 22020044121.

12144002022 is a `hidden beast` number, since 1 + 21 + 440 + 0 + 202 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12144002021) and next prime (12144002023).

It is a super-2 number, since 2×121440020222 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12144001986 and 12144002004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144002021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92343 + ... + 181149.

It is an arithmetic number, because the mean of its divisors is an integer number (561088944).

Almost surely, 212144002022 is an apocalyptic number.

12144002022 is an abundant number, since it is smaller than the sum of its proper divisors (14788267290).

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

12144002022 is a wasteful number, since it uses less digits than its factorization.

12144002022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88993 (or 88990 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12144002022 its reverse (22020044121), we get a palindrome (34164046143).

The spelling of 12144002022 in words is "twelve billion, one hundred forty-four million, two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 71 107 142 213 214 321 426 639 642 963 1278 1926 7597 15194 22791 45582 68373 88807 136746 177614 266421 532842 799263 1598526 6305297 9502349 12610594 18915891 19004698 28507047 37831782 56747673 57014094 85521141 113495346 171042282 674666779 1349333558 2024000337 4048000674 6072001011 12144002022