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112112112120 = 23351949171979
BaseRepresentation
bin110100001101001100…
…1110001000111111000
3101201101021201101111220
41220122121301013320
53314101200041440
6123300435352040
711046146141511
oct1503231610770
9351337641456
10112112112120
1143601401218
121988a152620
13a758c68aa8
1455d7903a08
152db27538d0
hex1a1a6711f8

112112112120 has 64 divisors (see below), whose sum is σ = 354038256000. Its totient is φ = 28323059328.

The previous prime is 112112111983. The next prime is 112112112121. The reversal of 112112112120 is 21211211211.

It is a happy number.

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 112112112120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112112112121) 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, 24583710 + ... + 24588269.

It is an arithmetic number, because the mean of its divisors is an integer number (5531847750).

Almost surely, 2112112112120 is an apocalyptic number.

112112112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112112112120 is an abundant number, since it is smaller than the sum of its proper divisors (241926143880).

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

112112112120 is a wasteful number, since it uses less digits than its factorization.

112112112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49172012 (or 49172008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112112112120 its reverse (21211211211), we get a palindrome (133323323331).

Subtracting from 112112112120 its reverse (21211211211), we obtain a palindrome (90900900909).

The spelling of 112112112120 in words is "one hundred twelve billion, one hundred twelve million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 49171979 98343958 147515937 196687916 245859895 295031874 393375832 491719790 590063748 737579685 934267601 983439580 1180127496 1475159370 1868535202 1966879160 2802802803 2950318740 3737070404 4671338005 5605605606 5900637480 7474140808 9342676010 11211211212 14014014015 18685352020 22422422424 28028028030 37370704040 56056056060 112112112120