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12113113200 = 2435210094261
BaseRepresentation
bin10110100011111111…
…10111000001110000
31011021011221220111020
423101333313001300
5144301424110300
65321550015440
7606113522556
oct132177670160
934234856436
1012113113200
11515659a261
1224207a7580
1311b0719c06
1482ca63bd6
154ad6658a0
hex2d1ff7070

12113113200 has 60 divisors (see below), whose sum is σ = 38802343128. Its totient is φ = 3230163200.

The previous prime is 12113113183. The next prime is 12113113217. The reversal of 12113113200 is 231131121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12113113183) and next prime (12113113217).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×121131132002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12113113200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5045931 + ... + 5048330.

Almost surely, 212113113200 is an apocalyptic number.

12113113200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12113113200 is an abundant number, since it is smaller than the sum of its proper divisors (26689229928).

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

12113113200 is a wasteful number, since it uses less digits than its factorization.

12113113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10094282 (or 10094271 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12113113200 its reverse (231131121), we get a palindrome (12344244321).

The spelling of 12113113200 in words is "twelve billion, one hundred thirteen million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 10094261 20188522 30282783 40377044 50471305 60565566 80754088 100942610 121131132 151413915 161508176 201885220 242262264 252356525 302827830 403770440 484524528 504713050 605655660 757069575 807540880 1009426100 1211311320 1514139150 2018852200 2422622640 3028278300 4037704400 6056556600 12113113200