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12023532040 = 23513215111779
BaseRepresentation
bin10110011001010100…
…01000101000001000
31011000221101201020111
423030222020220020
5144111011011130
65305030004104
7603645223162
oct131452105010
934027351214
1012023532040
11510aa74643
1223b67a6634
131197cb3800
14820bc5932
154a586d02a
hex2cca88a08

12023532040 has 96 divisors (see below), whose sum is σ = 29490523200. Its totient is φ = 4409683200.

The previous prime is 12023532029. The next prime is 12023532043. The reversal of 12023532040 is 4023532021.

It is not an unprimeable number, because it can be changed into a prime (12023532043) 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, 1014871 + ... + 1026649.

It is an arithmetic number, because the mean of its divisors is an integer number (307192950).

Almost surely, 212023532040 is an apocalyptic number.

12023532040 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 12023532040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14745261600).

12023532040 is an abundant number, since it is smaller than the sum of its proper divisors (17466991160).

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

12023532040 is a wasteful number, since it uses less digits than its factorization.

12023532040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11967 (or 11950 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The spelling of 12023532040 in words is "twelve billion, twenty-three million, five hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 151 169 260 302 338 520 604 676 755 845 1208 1352 1510 1690 1963 3020 3380 3926 6040 6760 7852 9815 11779 15704 19630 23558 25519 39260 47116 51038 58895 78520 94232 102076 117790 127595 153127 204152 235580 255190 306254 471160 510380 612508 765635 1020760 1225016 1531270 1778629 1990651 3062540 3557258 3981302 6125080 7114516 7962604 8893145 9953255 14229032 15925208 17786290 19906510 23122177 35572580 39813020 46244354 71145160 79626040 92488708 115610885 184977416 231221770 300588301 462443540 601176602 924887080 1202353204 1502941505 2404706408 3005883010 6011766020 12023532040