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122121230003331 = 313231131204814771
BaseRepresentation
bin11011110001000110010000…
…100010001010110010000011
3121000101200020111021010202220
4123301012100202022302003
5112001313234340101311
61111421415113342123
734502652631544166
oct3361062042126203
9530350214233686
10122121230003331
1135a03360708899
1211843ab4a07943
13531aca0946210
1422229b0365add
15e1b9c059e206
hex6f119088ac83

122121230003331 has 32 divisors (see below), whose sum is σ = 184596900106752. Its totient is φ = 71247926238720.

The previous prime is 122121230003329. The next prime is 122121230003447. The reversal of 122121230003331 is 133300032121221.

It is not a de Polignac number, because 122121230003331 - 21 = 122121230003329 is a prime.

It is a super-2 number, since 2×1221212300033312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122121230003831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 602306025 + ... + 602508746.

It is an arithmetic number, because the mean of its divisors is an integer number (5768653128336).

Almost surely, 2122121230003331 is an apocalyptic number.

122121230003331 is a deficient number, since it is larger than the sum of its proper divisors (62475670103421).

122121230003331 is a wasteful number, since it uses less digits than its factorization.

122121230003331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204814923.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 122121230003331 its reverse (133300032121221), we get a palindrome (255421262124552).

The spelling of 122121230003331 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, two hundred thirty million, three thousand, three hundred thirty-one".

Divisors: 1 3 13 23 39 69 113 299 339 897 1469 2599 4407 7797 33787 101361 1204814771 3614444313 15662592023 27710739733 46987776069 83132219199 136144069123 360239616529 408432207369 1080718849587 1769872898599 3131313589829 5309618695797 9393940769487 40707076667777 122121230003331