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1312223022112 = 251729233356989
BaseRepresentation
bin10011000110000110100…
…101100100110000100000
311122110002002010022101211
4103012012211210300200
5132444413043201422
62442454341235504
7163543052436352
oct23060645446040
94573062108354
101312223022112
11466568760662
12192398a02b94
13969855170c2
1447724a5d0d2
152420204b577
hex13186964c20

1312223022112 has 96 divisors (see below), whose sum is σ = 2841883153200. Its totient is φ = 593662476288.

The previous prime is 1312223022109. The next prime is 1312223022113. The reversal of 1312223022112 is 2112203222131.

It can be written as a sum of positive squares in 8 ways, for example, as 557764010896 + 754459011216 = 746836^2 + 868596^2 .

It is not an unprimeable number, because it can be changed into a prime (1312223022113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3497314 + ... + 3854302.

Almost surely, 21312223022112 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 1312223022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420941576600).

1312223022112 is an abundant number, since it is smaller than the sum of its proper divisors (1529660131088).

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

1312223022112 is a wasteful number, since it uses less digits than its factorization.

1312223022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357278 (or 357270 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1312223022112 its reverse (2112203222131), we get a palindrome (3424426244243).

The spelling of 1312223022112 in words is "one trillion, three hundred twelve billion, two hundred twenty-three million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 232 233 272 464 466 493 544 928 932 986 1864 1972 3728 3944 3961 6757 7456 7888 7922 13514 15776 15844 27028 31688 54056 63376 108112 114869 126752 216224 229738 356989 459476 713978 918952 1427956 1837904 2855912 3675808 5711824 6068813 10352681 11423648 12137626 20705362 24275252 41410724 48550504 82821448 83178437 97101008 165642896 166356874 175995577 194202016 331285792 332713748 351991154 665427496 703982308 1330854992 1407964616 1414033429 2412174673 2661709984 2815929232 2828066858 4824349346 5631858464 5656133716 9648698692 11312267432 19297397384 22624534864 38594794768 41006969441 45249069728 77189589536 82013938882 164027877764 328055755528 656111511056 1312223022112