Search a number
-
+
12133232412 = 2237223897163
BaseRepresentation
bin10110100110011001…
…00110111100011100
31011022120211001212020
423103030212330130
5144322101414122
65323545140140
7606446526300
oct132314467434
934276731766
1012133232412
115166991104
12242748a650
1311b4942682
148315bdd00
154b02dbc5c
hex2d3326f1c

12133232412 has 72 divisors (see below), whose sum is σ = 34364969856. Its totient is φ = 3315910752.

The previous prime is 12133232369. The next prime is 12133232417. The reversal of 12133232412 is 21423233121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133232417) 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, 435058 + ... + 462105.

It is an arithmetic number, because the mean of its divisors is an integer number (477291248).

Almost surely, 212133232412 is an apocalyptic number.

12133232412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12133232412 is an abundant number, since it is smaller than the sum of its proper divisors (22231737444).

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

12133232412 is a wasteful number, since it uses less digits than its factorization.

12133232412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897207 (or 897198 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 12133232412 its reverse (21423233121), we get a palindrome (33556465533).

The spelling of 12133232412 in words is "twelve billion, one hundred thirty-three million, two hundred thirty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 196 276 294 322 483 588 644 966 1127 1932 2254 3381 4508 6762 13524 897163 1794326 2691489 3588652 5382978 6280141 10765956 12560282 18840423 20634749 25120564 37680846 41269498 43960987 61904247 75361692 82538996 87921974 123808494 131882961 144443243 175843948 247616988 263765922 288886486 433329729 527531844 577772972 866659458 1011102701 1733318916 2022205402 3033308103 4044410804 6066616206 12133232412