Search a number
-
+
12311001012120 = 23352924771428197
BaseRepresentation
bin1011001100100110000011…
…0101111001011110011000
31121120220211211100110010220
42303021200311321132120
53103200412224341440
642103332405040040
72410304040004446
oct263114065713630
947526754313126
1012311001012120
113a17080140358
121469b553b6020
136b3bcb70b705
14307bd9bb5b96
151653862bd8d0
hexb3260d79798

12311001012120 has 128 divisors (see below), whose sum is σ = 38222006155200. Its totient is φ = 3168447113216.

The previous prime is 12311001012067. The next prime is 12311001012139. The reversal of 12311001012120 is 2121010011321.

12311001012120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12311001012120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7905862 + ... + 9334058.

Almost surely, 212311001012120 is an apocalyptic number.

12311001012120 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 12311001012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19111003077600).

12311001012120 is an abundant number, since it is smaller than the sum of its proper divisors (25911005143080).

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

12311001012120 is a wasteful number, since it uses less digits than its factorization.

12311001012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430717 (or 1430713 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12311001012120 its reverse (2121010011321), we get a palindrome (14432011023441).

The spelling of 12311001012120 in words is "twelve trillion, three hundred eleven billion, one million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 2477 3480 4954 7431 9908 12385 14862 19816 24770 29724 37155 49540 59448 71833 74310 99080 143666 148620 215499 287332 297240 359165 430998 574664 718330 861996 1077495 1428197 1436660 1723992 2154990 2856394 2873320 4284591 4309980 5712788 7140985 8569182 8619960 11425576 14281970 17138364 21422955 28563940 34276728 41417713 42845910 57127880 82835426 85691820 124253139 165670852 171383640 207088565 248506278 331341704 414177130 497012556 621265695 828354260 994025112 1242531390 1656708520 2485062780 3537643969 4970125560 7075287938 10612931907 14150575876 17688219845 21225863814 28301151752 35376439690 42451727628 53064659535 70752879380 84903455256 102591675101 106129319070 141505758760 205183350202 212258638140 307775025303 410366700404 424517276280 512958375505 615550050606 820733400808 1025916751010 1231100101212 1538875126515 2051833502020 2462200202424 3077750253030 4103667004040 6155500506060 12311001012120