Search a number
-
+
122112121022200 = 23521283475885117
BaseRepresentation
bin11011110000111101110001…
…100110001010011011111000
3121000100210201200002221202101
4123300331301212022123320
5112001141110440202300
61111413311200313144
734502211123513661
oct3360756146123370
9530323650087671
10122112121022200
11359aa506951511
12118421923127b4
13531a17b72955a
1422223886a2368
15e1b63aa46b6a
hex6f0f7198a6f8

122112121022200 has 48 divisors (see below), whose sum is σ = 284131968553080. Its totient is φ = 48806777496960.

The previous prime is 122112121022183. The next prime is 122112121022207. The reversal of 122112121022200 is 2220121211221.

It is a super-2 number, since 2×1221121210222002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112121022207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237685959 + ... + 238199158.

Almost surely, 2122112121022200 is an apocalyptic number.

122112121022200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112121022200 is an abundant number, since it is smaller than the sum of its proper divisors (162019847530880).

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

122112121022200 is a wasteful number, since it uses less digits than its factorization.

122112121022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475886416 (or 475886407 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122112121022200 its reverse (2220121211221), we get a palindrome (124332242233421).

The spelling of 122112121022200 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred twenty-one million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1283 2566 5132 6415 10264 12830 25660 32075 51320 64150 128300 256600 475885117 951770234 1903540468 2379425585 3807080936 4758851170 9517702340 11897127925 19035404680 23794255850 47588511700 95177023400 610560605111 1221121210222 2442242420444 3052803025555 4884484840888 6105606051110 12211212102220 15264015127775 24422424204440 30528030255550 61056060511100 122112121022200