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12191088 = 2437132791
BaseRepresentation
bin101110100000…
…010101110000
3211221101000210
4232200111300
511110103323
61113144120
7205423350
oct56402560
924841023
1012191088
116977388
1240bb040
1326aac80
141894b60
15110c293
hexba0570

12191088 has 80 divisors (see below), whose sum is σ = 38775296. Its totient is φ = 3214080.

The previous prime is 12191087. The next prime is 12191089. The reversal of 12191088 is 88019121.

It is an interprime number because it is at equal distance from previous prime (12191087) and next prime (12191089).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12191083) 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, 2973 + ... + 5763.

Almost surely, 212191088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12191088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19387648).

12191088 is an abundant number, since it is smaller than the sum of its proper divisors (26584208).

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

12191088 is a wasteful number, since it uses less digits than its factorization.

12191088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 30.

The square root of 12191088 is about 3491.5738571595. The cubic root of 12191088 is about 230.1516831830.

The spelling of 12191088 in words is "twelve million, one hundred ninety-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 2791 4368 5582 8373 11164 16746 19537 22328 33492 36283 39074 44656 58611 66984 72566 78148 108849 117222 133968 145132 156296 217698 234444 253981 290264 312592 435396 468888 507962 580528 761943 870792 937776 1015924 1523886 1741584 2031848 3047772 4063696 6095544 12191088