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122222121012020 = 225101201557300193
BaseRepresentation
bin11011110010100100001110…
…000110110100101100110100
3121000202022122202111102011102
4123302210032012310230310
5112004441400434341040
61111540022310025232
734513154045142521
oct3362441606645464
9530668582442142
10122222121012020
1135a42123a94a07
121185b571048218
13532765bc21923
142227821882148
15e1e427b3b515
hex6f290e1b4b34

122222121012020 has 48 divisors (see below), whose sum is σ = 259209855647568. Its totient is φ = 48404399001600.

The previous prime is 122222121012011. The next prime is 122222121012049. The reversal of 122222121012020 is 20210121222221.

It can be written as a sum of positive squares in 8 ways, for example, as 2183408148496 + 120038712863524 = 1477636^2 + 10956218^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122222121011983 and 122222121012001.

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, 406995044 + ... + 407295236.

It is an arithmetic number, because the mean of its divisors is an integer number (5400205325991).

Almost surely, 2122222121012020 is an apocalyptic number.

122222121012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122222121012020 is an abundant number, since it is smaller than the sum of its proper divisors (136987734635548).

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

122222121012020 is a wasteful number, since it uses less digits than its factorization.

122222121012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501860 (or 501858 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122222121012020 its reverse (20210121222221), we get a palindrome (142432242234241).

The spelling of 122222121012020 in words is "one hundred twenty-two trillion, two hundred twenty-two billion, one hundred twenty-one million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 201557 300193 403114 600386 806228 1007785 1200772 1500965 2015570 3001930 4031140 6003860 20357257 30319493 40714514 60638986 81429028 101786285 121277972 151597465 203572570 303194930 407145140 606389860 60506000501 121012001002 242024002004 302530002505 605060005010 1210120010020 6111106050601 12222212101202 24444424202404 30555530253005 61111060506010 122222121012020