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122112241314 = 23748712974603
BaseRepresentation
bin111000110111001110…
…1001110111010100010
3102200012012201120212020
41301232131032322202
54000041213210224
6132033025042310
711552024632230
oct1615635167242
9380165646766
10122112241314
11478731a42a8
121b7bb186396
13b69099ccbb
145ca5a9b950
15329a639c79
hex1c6e74eea2

122112241314 has 64 divisors (see below), whose sum is σ = 279963273216. Its totient is φ = 34783167744.

The previous prime is 122112241313. The next prime is 122112241319. The reversal of 122112241314 is 413142211221.

It is a super-2 number, since 2×1221122413142 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122112241313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26526537 + ... + 26531139.

It is an arithmetic number, because the mean of its divisors is an integer number (4374426144).

Almost surely, 2122112241314 is an apocalyptic number.

122112241314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

122112241314 is an abundant number, since it is smaller than the sum of its proper divisors (157851031902).

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

122112241314 is a wasteful number, since it uses less digits than its factorization.

122112241314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6399.

The product of its digits is 768, while the sum is 24.

Adding to 122112241314 its reverse (413142211221), we get a palindrome (535254452535).

The spelling of 122112241314 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred forty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 487 974 1297 1461 2594 2922 3409 3891 4603 6818 7782 9079 9206 10227 13809 18158 20454 27237 27618 32221 54474 64442 96663 193326 631639 1263278 1894917 2241661 3789834 4421473 4483322 5970091 6724983 8842946 11940182 13264419 13449966 15691627 17910273 26528838 31383254 35820546 41790637 47074881 83581274 94149762 125371911 250743822 2907434317 5814868634 8722302951 17444605902 20352040219 40704080438 61056120657 122112241314