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122122120000331 = 1124124616432171
BaseRepresentation
bin11011110001000111000101…
…100101001111001101001011
3121000101202112111221200010202
4123301013011211033031023
5112001322100210002311
61111422043305202415
734503013656441503
oct3361070545171513
9530352474850122
10122122120000331
1135a03778028800
1211844102a9040b
13531b0b3149869
142222a5663aa03
15e1ba237a1e3b
hex6f11c594f34b

122122120000331 has 12 divisors (see below), whose sum is σ = 137507390112792. Its totient is φ = 108312301548000.

The previous prime is 122122120000313. The next prime is 122122120000393. The reversal of 122122120000331 is 133000021221221.

It is not a de Polignac number, because 122122120000331 - 26 = 122122120000267 is a prime.

It is a super-2 number, since 2×1221221200003312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122122120000031) 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, 12308211125 + ... + 12308221046.

It is an arithmetic number, because the mean of its divisors is an integer number (11458949176066).

Almost surely, 2122122120000331 is an apocalyptic number.

122122120000331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122122120000331 is a deficient number, since it is larger than the sum of its proper divisors (15385270112461).

122122120000331 is a wasteful number, since it uses less digits than its factorization.

122122120000331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24616432234 (or 24616432223 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 122122120000331 its reverse (133000021221221), we get a palindrome (255122141221552).

The spelling of 122122120000331 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred twenty million, three hundred thirty-one", and thus it is an aban number.

Divisors: 1 11 41 121 451 4961 24616432171 270780753881 1009273719011 2978588292691 11102010909121 122122120000331