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112222020120 = 23357751177893
BaseRepresentation
bin110100010000011110…
…1000010001000011000
3101201122221112021221120
41220200331002020120
53314312314120440
6123315403205240
711051652301140
oct1504075021030
9351587467846
10112222020120
114365844a781
12198bab16820
13a77596b302
145608353920
152dbc213dd0
hex1a20f42218

112222020120 has 128 divisors (see below), whose sum is σ = 385275709440. Its totient is φ = 25616448000.

The previous prime is 112222020101. The next prime is 112222020133. The reversal of 112222020120 is 21020222211.

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 112222020120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541894 + ... + 719786.

It is an arithmetic number, because the mean of its divisors is an integer number (3009966480).

Almost surely, 2112222020120 is an apocalyptic number.

112222020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112222020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192637854720).

112222020120 is an abundant number, since it is smaller than the sum of its proper divisors (273053689320).

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

112222020120 is a wasteful number, since it uses less digits than its factorization.

112222020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178665 (or 178661 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 112222020120 its reverse (21020222211), we get a palindrome (133242242331).

The spelling of 112222020120 in words is "one hundred twelve billion, two hundred twenty-two million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 751 840 1502 2253 3004 3755 4506 5257 6008 7510 9012 10514 11265 15020 15771 18024 21028 22530 26285 30040 31542 42056 45060 52570 63084 78855 90120 105140 126168 157710 177893 210280 315420 355786 533679 630840 711572 889465 1067358 1245251 1423144 1778930 2134716 2490502 2668395 3557860 3735753 4269432 4981004 5336790 6226255 7115720 7471506 9962008 10673580 12452510 14943012 18678765 21347160 24905020 29886024 37357530 49810040 74715060 133597643 149430120 267195286 400792929 534390572 667988215 801585858 935183501 1068781144 1335976430 1603171716 1870367002 2003964645 2671952860 2805550503 3206343432 3740734004 4007929290 4675917505 5343905720 5611101006 7481468008 8015858580 9351835010 11222202012 14027752515 16031717160 18703670020 22444404024 28055505030 37407340040 56111010060 112222020120