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12121992 = 2332315431
BaseRepresentation
bin101110001111…
…011110001000
3211210212020200
4232033132020
511100400432
61111452200
7205015041
oct56173610
924725220
1012121992
11692a483
124087060
13268569c
1418778c8
1510e6a7c
hexb8f788

12121992 has 48 divisors (see below), whose sum is σ = 33895680. Its totient is φ = 3909600.

The previous prime is 12121987. The next prime is 12122009. The reversal of 12121992 is 29912121.

It is a super-3 number, since 3×121219923 (a number of 22 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 484 + ... + 4947.

It is an arithmetic number, because the mean of its divisors is an integer number (706160).

Almost surely, 212121992 is an apocalyptic number.

12121992 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 12121992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16947840).

12121992 is an abundant number, since it is smaller than the sum of its proper divisors (21773688).

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

12121992 is a wasteful number, since it uses less digits than its factorization.

12121992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5474 (or 5467 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 12121992 is about 3481.6651188763. The cubic root of 12121992 is about 229.7160452930.

It can be divided in two parts, 1212199 and 2, that added together give a square (1212201 = 11012).

The spelling of 12121992 in words is "twelve million, one hundred twenty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 5431 10862 16293 21724 32586 43448 48879 65172 97758 130344 168361 195516 336722 391032 505083 673444 1010166 1346888 1515249 2020332 3030498 4040664 6060996 12121992