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12320130132 = 223561720543
BaseRepresentation
bin10110111100101011…
…00100010001010100
31011210121111110100000
423132111210101110
5200212423131012
65354303051300
7614206243512
oct133625442124
934717443300
1012320130132
115252435132
122479ba0b30
13121459003b
1484c3514b2
154c1908ddc
hex2de564454

12320130132 has 72 divisors (see below), whose sum is σ = 32349897216. Its totient is φ = 4099854528.

The previous prime is 12320130091. The next prime is 12320130133. The reversal of 12320130132 is 23103102321.

12320130132 is a `hidden beast` number, since 12 + 320 + 1 + 301 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12320130133) 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, 589453 + ... + 609995.

It is an arithmetic number, because the mean of its divisors is an integer number (449304128).

Almost surely, 212320130132 is an apocalyptic number.

12320130132 is a gapful number since it is divisible by the number (12) 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 12320130132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16174948608).

12320130132 is an abundant number, since it is smaller than the sum of its proper divisors (20029767084).

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

12320130132 is a wasteful number, since it uses less digits than its factorization.

12320130132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21179 (or 21165 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12320130132 its reverse (23103102321), we get a palindrome (35423232453).

The spelling of 12320130132 in words is "twelve billion, three hundred twenty million, one hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 617 972 1234 1851 2468 3702 5553 7404 11106 16659 20543 22212 33318 41086 49977 61629 66636 82172 99954 123258 149931 184887 199908 246516 299862 369774 554661 599724 739548 1109322 1663983 2218644 3327966 4991949 6655932 9983898 12675031 19967796 25350062 38025093 50700124 76050186 114075279 152100372 228150558 342225837 456301116 684451674 1026677511 1368903348 2053355022 3080032533 4106710044 6160065066 12320130132