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122211221001020 = 22587710976351479
BaseRepresentation
bin11011110010011010000100…
…011010100101001100111100
3121000201021112010012111001022
4123302122010122211030330
5112004302040034013040
61111531020533003312
734512316661445014
oct3362320432451474
9530637463174038
10122211221001020
1135a38540240358
121185942a783538
135326612935a88
1422270a9d9cc44
15e1dedac4d6b5
hex6f26846a533c

122211221001020 has 48 divisors (see below), whose sum is σ = 257170459775040. Its totient is φ = 48784228975104.

The previous prime is 122211221001013. The next prime is 122211221001097. The reversal of 122211221001020 is 20100122112221.

It is a self number, because there is not a number n which added to its sum of digits gives 122211221001020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16065641 + ... + 22417119.

It is an arithmetic number, because the mean of its divisors is an integer number (5357717911980).

Almost surely, 2122211221001020 is an apocalyptic number.

122211221001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122211221001020 is an abundant number, since it is smaller than the sum of its proper divisors (134959238774020).

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

122211221001020 is a wasteful number, since it uses less digits than its factorization.

122211221001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6353462 (or 6353460 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122211221001020 its reverse (20100122112221), we get a palindrome (142311343113241).

The spelling of 122211221001020 in words is "one hundred twenty-two trillion, two hundred eleven billion, two hundred twenty-one million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 877 1097 1754 2194 3508 4385 4388 5485 8770 10970 17540 21940 962069 1924138 3848276 4810345 6351479 9620690 12702958 19241380 25405916 31757395 63514790 127029580 5570247083 6967572463 11140494166 13935144926 22280988332 27851235415 27870289852 34837862315 55702470830 69675724630 111404941660 139351449260 6110561050051 12221122100102 24442244200204 30552805250255 61105610500510 122211221001020