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122120000112 = 243111012289979
BaseRepresentation
bin111000110111011101…
…0110101001001110000
3102200012202022202221010
41301232322311021300
54000100210000422
6132033503230520
711552150605515
oct1615672651160
9380182282833
10122120000112
1147877613630
121b8018a8440
13b6924886c6
145ca6b1b30c
15329b16db0c
hex1c6eeb5270

122120000112 has 80 divisors (see below), whose sum is σ = 347564004480. Its totient is φ = 36639648000.

The previous prime is 122120000099. The next prime is 122120000141. The reversal of 122120000112 is 211000021221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1091662 + ... + 1198317.

It is an arithmetic number, because the mean of its divisors is an integer number (4344550056).

Almost surely, 2122120000112 is an apocalyptic number.

122120000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122120000112 is an abundant number, since it is smaller than the sum of its proper divisors (225444004368).

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

122120000112 is a wasteful number, since it uses less digits than its factorization.

122120000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290102 (or 2290096 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122120000112 its reverse (211000021221), we get a palindrome (333120021333).

The spelling of 122120000112 in words is "one hundred twenty-two billion, one hundred twenty million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 132 176 202 264 303 404 528 606 808 1111 1212 1616 2222 2424 3333 4444 4848 6666 8888 13332 17776 26664 53328 2289979 4579958 6869937 9159916 13739874 18319832 25189769 27479748 36639664 50379538 54959496 75569307 100759076 109918992 151138614 201518152 231287879 302277228 403036304 462575758 604554456 693863637 925151516 1209108912 1387727274 1850303032 2544166669 2775454548 3700606064 5088333338 5550909096 7632500007 10176666676 11101818192 15265000014 20353333352 30530000028 40706666704 61060000056 122120000112