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12111123132 = 2233409487563
BaseRepresentation
bin10110100011110000…
…10001001010111100
31011021001012210122000
423101320101022330
5144300421420012
65321435222300
7606060563613
oct132170211274
934231183560
1012111123132
115155460079
12241bba7990
1311b01a1164
1482c6a687a
154ad3c0ddc
hex2d1e112bc

12111123132 has 96 divisors (see below), whose sum is σ = 31596633600. Its totient is φ = 4011762816.

The previous prime is 12111123131. The next prime is 12111123149. The reversal of 12111123132 is 23132111121.

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

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 (12111123131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21511483 + ... + 21512045.

It is an arithmetic number, because the mean of its divisors is an integer number (329131600).

Almost surely, 212111123132 is an apocalyptic number.

12111123132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12111123132 is an abundant number, since it is smaller than the sum of its proper divisors (19485510468).

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

12111123132 is a wasteful number, since it uses less digits than its factorization.

12111123132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1464 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 12111123132 its reverse (23132111121), we get a palindrome (35243234253).

The spelling of 12111123132 in words is "twelve billion, one hundred eleven million, one hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 409 487 563 818 974 1126 1227 1461 1636 1689 1948 2252 2454 2922 3378 3681 4383 4908 5067 5844 6756 7362 8766 10134 11043 13149 14724 15201 17532 20268 22086 26298 30402 44172 52596 60804 199183 230267 274181 398366 460534 548362 597549 690801 796732 822543 921068 1096724 1195098 1381602 1645086 1792647 2072403 2390196 2467629 2763204 3290172 3585294 4144806 4935258 5377941 6217209 7170588 7402887 8289612 9870516 10755882 12434418 14805774 21511764 24868836 29611548 112140029 224280058 336420087 448560116 672840174 1009260261 1345680348 2018520522 3027780783 4037041044 6055561566 12111123132