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12041001312 = 253535940111
BaseRepresentation
bin10110011011011001…
…10001100101100000
31011002011021020120120
423031230301211200
5144124444020222
65310452240240
7604246552044
oct131554614540
934064236516
1012041001312
11511991655a
122400610080
13119b7bc062
14823252024
154a716e15c
hex2cdb31960

12041001312 has 96 divisors (see below), whose sum is σ = 32750645760. Its totient is φ = 3871096320.

The previous prime is 12041001293. The next prime is 12041001317. The reversal of 12041001312 is 21310014021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 12041001291 and 12041001300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12041001317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280137 + ... + 320247.

It is an arithmetic number, because the mean of its divisors is an integer number (341152560).

Almost surely, 212041001312 is an apocalyptic number.

12041001312 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 12041001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16375322880).

12041001312 is an abundant number, since it is smaller than the sum of its proper divisors (20709644448).

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

12041001312 is a wasteful number, since it uses less digits than its factorization.

12041001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40236 (or 40228 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12041001312 its reverse (21310014021), we get a palindrome (33351015333).

The spelling of 12041001312 in words is "twelve billion, forty-one million, one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 59 96 106 118 159 177 212 236 318 354 424 472 636 708 848 944 1272 1416 1696 1888 2544 2832 3127 5088 5664 6254 9381 12508 18762 25016 37524 40111 50032 75048 80222 100064 120333 150096 160444 240666 300192 320888 481332 641776 962664 1283552 1925328 2125883 2366549 3850656 4251766 4733098 6377649 7099647 8503532 9466196 12755298 14199294 17007064 18932392 25510596 28398588 34014128 37864784 51021192 56797176 68028256 75729568 102042384 113594352 125427097 204084768 227188704 250854194 376281291 501708388 752562582 1003416776 1505125164 2006833552 3010250328 4013667104 6020500656 12041001312