Search a number
-
+
12001121100 = 22325217784387
BaseRepresentation
bin10110010110101001…
…01001001101001100
31010222101020010012200
423023110221031030
5144034241333400
65302505401500
7603253563153
oct131324511514
933871203180
1012001121100
1150a9357a01
1223ab199290
131193467bb7
1481bc3059a
154a38e2b00
hex2cb52934c

12001121100 has 108 divisors (see below), whose sum is σ = 39829653864. Its totient is φ = 3012042240.

The previous prime is 12001121089. The next prime is 12001121149. The reversal of 12001121100 is 112110021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 376894 + ... + 407493.

Almost surely, 212001121100 is an apocalyptic number.

12001121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001121100 is an abundant number, since it is smaller than the sum of its proper divisors (27828532764).

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

12001121100 is a wasteful number, since it uses less digits than its factorization.

12001121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784424 (or 784414 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12001121100 its reverse (112110021), we get a palindrome (12113231121).

The spelling of 12001121100 in words is "twelve billion, one million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 45 50 51 60 68 75 85 90 100 102 150 153 170 180 204 225 255 300 306 340 425 450 510 612 765 850 900 1020 1275 1530 1700 2550 3060 3825 5100 7650 15300 784387 1568774 2353161 3137548 3921935 4706322 7059483 7843870 9412644 11765805 13334579 14118966 15687740 19609675 23531610 26669158 28237932 35297415 39219350 40003737 47063220 53338316 58829025 66672895 70594830 78438700 80007474 117658050 120011211 133345790 141189660 160014948 176487075 200018685 235316100 240022422 266691580 333364475 352974150 400037370 480044844 600056055 666728950 705948300 800074740 1000093425 1200112110 1333457900 2000186850 2400224220 3000280275 4000373700 6000560550 12001121100