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1202122131320 = 23511101173156361
BaseRepresentation
bin10001011111100100000…
…100000000011101111000
311020220212221212112212202
4101133210010000131320
5124143421231200240
62320125225125332
7152564464343555
oct21374404003570
94226787775782
101202122131320
114238a9670830
12174b90329848
138948a154106
144227c2d5a2c
152140b175315
hex117e4100778

1202122131320 has 128 divisors (see below), whose sum is σ = 2997121798080. Its totient is φ = 430302720000.

The previous prime is 1202122131257. The next prime is 1202122131373. The reversal of 1202122131320 is 231312212021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1202122131292 and 1202122131301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7609940 + ... + 7766300.

Almost surely, 21202122131320 is an apocalyptic number.

1202122131320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1202122131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498560899040).

1202122131320 is an abundant number, since it is smaller than the sum of its proper divisors (1794999666760).

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

1202122131320 is a wasteful number, since it uses less digits than its factorization.

1202122131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156657 (or 156653 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1202122131320 its reverse (231312212021), we get a palindrome (1433434343341).

The spelling of 1202122131320 in words is "one trillion, two hundred two billion, one hundred twenty-two million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 173 202 220 346 404 440 505 692 808 865 1010 1111 1384 1730 1903 2020 2222 3460 3806 4040 4444 5555 6920 7612 8888 9515 11110 15224 17473 19030 22220 34946 38060 44440 69892 76120 87365 139784 156361 174730 192203 312722 349460 384406 625444 698920 768812 781805 961015 1250888 1537624 1563610 1719971 1922030 3127220 3439942 3844060 6254440 6879884 7688120 8599855 13759768 15792461 17199710 27050453 31584922 34399420 54100906 63169844 68798840 78962305 108201812 126339688 135252265 157924610 173717071 216403624 270504530 297554983 315849220 347434142 541009060 595109966 631698440 694868284 868585355 1082018120 1190219932 1389736568 1487774915 1737170710 2380439864 2732095753 2975549830 3474341420 5464191506 5951099660 6948682840 10928383012 11902199320 13660478765 21856766024 27320957530 30053053283 54641915060 60106106566 109283830120 120212213132 150265266415 240424426264 300530532830 601061065660 1202122131320