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12010313010132 = 22321736353539837
BaseRepresentation
bin1010111011000101111001…
…1100001100101111010100
31120112011201100211022002200
42232301132130030233110
53033234110112311012
641313243413404500
72346500516111313
oct256613634145724
946464640738080
1012010313010132
1139105aa649a78
12141b819639730
1369174c1b1848
142d743354027a
1515c63850c3dc
hexaec5e70cbd4

12010313010132 has 72 divisors (see below), whose sum is σ = 32146193327976. Its totient is φ = 3767830708224.

The previous prime is 12010313010089. The next prime is 12010313010263. The reversal of 12010313010132 is 23101031301021.

12010313010132 is a `hidden beast` number, since 1 + 201 + 0 + 31 + 301 + 0 + 132 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5238587129616 + 6771725880516 = 2288796^2 + 2602254^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21978118 + ... + 22517954.

It is an arithmetic number, because the mean of its divisors is an integer number (446474907333).

Almost surely, 212010313010132 is an apocalyptic number.

12010313010132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12010313010132 is an abundant number, since it is smaller than the sum of its proper divisors (20135880317844).

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

12010313010132 is a wasteful number, since it uses less digits than its factorization.

12010313010132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576217 (or 576212 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12010313010132 its reverse (23101031301021), we get a palindrome (35111344311153).

The spelling of 12010313010132 in words is "twelve trillion, ten billion, three hundred thirteen million, ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 36353 72706 109059 145412 218118 327177 436236 539837 618001 654354 1079674 1236002 1308708 1619511 1854003 2159348 2472004 3239022 3708006 4858533 5562009 6478044 7416012 9177229 9717066 11124018 18354458 19434132 22248036 27531687 36708916 55063374 82595061 110126748 165190122 330380244 19624694461 39249388922 58874083383 78498777844 117748166766 176622250149 235496333532 333619805837 353244500298 667239611674 706489000596 1000859417511 1334479223348 2001718835022 3002578252533 4003437670044 6005156505066 12010313010132