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1312223131120 = 245111491162649
BaseRepresentation
bin10011000110000110100…
…101111111010111110000
311122110002002022211221011
4103012012211333113300
5132444413110143440
62442454343440304
7163543053402226
oct23060645772760
94573062284834
101312223131120
11466568825550
12192398a56094
13969855548c5
1447724a8ab16
152420206d9ea
hex1318697f5f0

1312223131120 has 40 divisors (see below), whose sum is σ = 3328275034800. Its totient is φ = 477172047360.

The previous prime is 1312223131081. The next prime is 1312223131127. The reversal of 1312223131120 is 211313222131.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1312223131091 and 1312223131100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312223131127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 745580445 + ... + 745582204.

It is an arithmetic number, because the mean of its divisors is an integer number (83206875870).

Almost surely, 21312223131120 is an apocalyptic number.

1312223131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312223131120 is an abundant number, since it is smaller than the sum of its proper divisors (2016051903680).

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

1312223131120 is a wasteful number, since it uses less digits than its factorization.

1312223131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491162673 (or 1491162667 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 1312223131120 its reverse (211313222131), we get a palindrome (1523536353251).

The spelling of 1312223131120 in words is "one trillion, three hundred twelve billion, two hundred twenty-three million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1491162649 2982325298 5964650596 7455813245 11929301192 14911626490 16402789139 23858602384 29823252980 32805578278 59646505960 65611156556 82013945695 119293011920 131222313112 164027891390 262444626224 328055782780 656111565560 1312223131120