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112122200120 = 23571103363043
BaseRepresentation
bin110100001101100000…
…0010000000000111000
3101201101222200220122112
41220123000100000320
53314111240400440
6123301435511452
711046330655550
oct1503300200070
9351358626575
10112122200120
1143607071507
12198915b8588
13a75b08b718
1455d8dac160
152db3597965
hex1a1b010038

112122200120 has 64 divisors (see below), whose sum is σ = 288576414720. Its totient is φ = 38406939264.

The previous prime is 112122200111. The next prime is 112122200143. The reversal of 112122200120 is 21002221211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 112122200095 and 112122200104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127319 + ... + 490361.

It is an arithmetic number, because the mean of its divisors is an integer number (4509006480).

Almost surely, 2112122200120 is an apocalyptic number.

112122200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112122200120 is an abundant number, since it is smaller than the sum of its proper divisors (176454214600).

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

112122200120 is a wasteful number, since it uses less digits than its factorization.

112122200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364164 (or 364160 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112122200120 its reverse (21002221211), we get a palindrome (133124421331).

The spelling of 112122200120 in words is "one hundred twelve billion, one hundred twenty-two million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1103 2206 4412 5515 7721 8824 11030 15442 22060 30884 38605 44120 61768 77210 154420 308840 363043 726086 1452172 1815215 2541301 2904344 3630430 5082602 7260860 10165204 12706505 14521720 20330408 25413010 50826020 101652040 400436429 800872858 1601745716 2002182145 2803055003 3203491432 4004364290 5606110006 8008728580 11212220012 14015275015 16017457160 22424440024 28030550030 56061100060 112122200120