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1123231221312 = 26337967716339
BaseRepresentation
bin10000010110000101110…
…011000100011001000000
310222101020220201002022220
4100112011303010121000
5121400334143040222
62220001051131040
7144102500564514
oct20260563043100
93871226632286
101123231221312
113a33a5818452
12161833a43a80
1381bc6a33585
143c516984144
151e340235b5c
hex10585cc4640

1123231221312 has 112 divisors (see below), whose sum is σ = 3052705990080. Its totient is φ = 364231268352.

The previous prime is 1123231221289. The next prime is 1123231221391. The reversal of 1123231221312 is 2131221323211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68737239 + ... + 68753577.

Almost surely, 21123231221312 is an apocalyptic number.

1123231221312 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 1123231221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526352995040).

1123231221312 is an abundant number, since it is smaller than the sum of its proper divisors (1929474768768).

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

1123231221312 is a wasteful number, since it uses less digits than its factorization.

1123231221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26068 (or 26058 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 1123231221312 its reverse (2131221323211), we get a palindrome (3254452544523).

The spelling of 1123231221312 in words is "one trillion, one hundred twenty-three billion, two hundred thirty-one million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 7104 9677 16339 19354 29031 32678 38708 49017 58062 65356 77416 98034 116124 130712 154832 196068 232248 261424 309664 358049 392136 464496 522848 604543 619328 716098 784272 928992 1045696 1074147 1209086 1432196 1568544 1813629 1857984 2148294 2418172 2864392 3137088 3627258 4296588 4836344 5728784 7254516 8593176 9672688 11457568 14509032 17186352 19345376 22915136 29018064 34372704 38690752 58036128 68745408 116072256 158112503 316225006 474337509 632450012 948675018 1264900024 1897350036 2529800048 3794700072 5059600096 5850162611 7589400144 10119200192 11700325222 15178800288 17550487833 23400650444 30357600576 35100975666 46801300888 70201951332 93602601776 140403902664 187205203552 280807805328 374410407104 561615610656 1123231221312