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120212210010222 = 23211976259096637
BaseRepresentation
bin11011010101010100010110…
…000100110100100001101110
3120202122011201121100111122200
4123111110112010310201232
5111224024101230311342
61103400421001522330
734215021425413461
oct3325242604644156
9522564647314580
10120212210010222
1135337791696850
1211595b21aa33a6
13520cc69261065
1421984329d92d8
15dd6ede9d094c
hex6d551613486e

120212210010222 has 48 divisors (see below), whose sum is σ = 287067208205232. Its totient is φ = 36052396623360.

The previous prime is 120212210010187. The next prime is 120212210010227. The reversal of 120212210010222 is 222010012212021.

It is a happy number.

120212210010222 is a `hidden beast` number, since 1 + 20 + 212 + 210 + 0 + 1 + 0 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120212210010195 and 120212210010204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120212210010227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3129529113 + ... + 3129567524.

It is an arithmetic number, because the mean of its divisors is an integer number (5980566837609).

Almost surely, 2120212210010222 is an apocalyptic number.

120212210010222 is an abundant number, since it is smaller than the sum of its proper divisors (166854998195010).

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

120212210010222 is a wasteful number, since it uses less digits than its factorization.

120212210010222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6259096753 (or 6259096750 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120212210010222 its reverse (222010012212021), we get a palindrome (342222222222243).

The spelling of 120212210010222 in words is "one hundred twenty trillion, two hundred twelve billion, two hundred ten million, ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 97 99 194 198 291 582 873 1067 1746 2134 3201 6402 9603 19206 6259096637 12518193274 18777289911 37554579822 56331869733 68850063007 112663739466 137700126014 206550189021 413100378042 607132373789 619650567063 1214264747578 1239301134126 1821397121367 3642794242734 5464191364101 6678456111679 10928382728202 13356912223358 20035368335037 40070736670074 60106105005111 120212210010222