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112121220120 = 233571310267511
BaseRepresentation
bin110100001101011110…
…0100000110000011000
3101201101220212010100020
41220122330200300120
53314111013020440
6123301402510440
711046316434450
oct1503274406030
9351356763306
10112121220120
1143606562198
1219891205420
13a75ab07640
1455d8bd4d60
152db34523d0
hex1a1af20c18

112121220120 has 128 divisors (see below), whose sum is σ = 413986083840. Its totient is φ = 23656343040.

The previous prime is 112121220103. The next prime is 112121220121. The reversal of 112121220120 is 21022121211.

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 112121220120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112121220121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5122836 + ... + 5144675.

It is an arithmetic number, because the mean of its divisors is an integer number (3234266280).

Almost surely, 2112121220120 is an apocalyptic number.

112121220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112121220120 is an abundant number, since it is smaller than the sum of its proper divisors (301864863720).

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

112121220120 is a wasteful number, since it uses less digits than its factorization.

112121220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10267545 (or 10267541 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112121220120 its reverse (21022121211), we get a palindrome (133143341331).

The spelling of 112121220120 in words is "one hundred twelve billion, one hundred twenty-one million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 10267511 20535022 30802533 41070044 51337555 61605066 71872577 82140088 102675110 123210132 133477643 143745154 154012665 205350220 215617731 246420264 266955286 287490308 308025330 359362885 400432929 410700440 431235462 533910572 574980616 616050660 667388215 718725770 800865858 862470924 934343501 1067821144 1078088655 1232101320 1334776430 1437451540 1601731716 1724941848 1868687002 2002164645 2156177310 2669552860 2803030503 2874903080 3203463432 3737374004 4004329290 4312354620 4671717505 5339105720 5606061006 7474748008 8008658580 8624709240 9343435010 11212122012 14015152515 16017317160 18686870020 22424244024 28030305030 37373740040 56060610060 112121220120