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122320012312220 = 22571278617309173
BaseRepresentation
bin11011110011111111011000…
…111000011111111010011100
3121001002200022222020201002112
4123303333120320133322130
5112013042341122442340
61112053012104213152
734523220635361302
oct3363773070377234
9531080288221075
10122320012312220
1135a7a69808a6a8
121187653076a1b8
13533395c8b86b8
14222c46a830272
15e21c56b91065
hex6f3fd8e1fe9c

122320012312220 has 48 divisors (see below), whose sum is σ = 260491719192768. Its totient is φ = 48238548933120.

The previous prime is 122320012312177. The next prime is 122320012312237. The reversal of 122320012312220 is 22213210023221.

It is a happy number.

It is a super-2 number, since 2×1223200123122202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395481554 + ... + 395790726.

It is an arithmetic number, because the mean of its divisors is an integer number (5426910816516).

Almost surely, 2122320012312220 is an apocalyptic number.

122320012312220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122320012312220 is an abundant number, since it is smaller than the sum of its proper divisors (138171706880548).

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

122320012312220 is a wasteful number, since it uses less digits than its factorization.

122320012312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587870 (or 587868 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 122320012312220 its reverse (22213210023221), we get a palindrome (144533222335441).

The spelling of 122320012312220 in words is "one hundred twenty-two trillion, three hundred twenty billion, twelve million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 71 142 284 355 710 1420 278617 309173 557234 618346 1114468 1236692 1393085 1545865 2786170 3091730 5572340 6183460 19781807 21951283 39563614 43902566 79127228 87805132 98909035 109756415 197818070 219512830 395636140 439025660 86140853741 172281707482 344563414964 430704268705 861408537410 1722817074820 6116000615611 12232001231222 24464002462444 30580003078055 61160006156110 122320012312220