Search a number
-
+
122211001999955 = 511231133172697007
BaseRepresentation
bin11011110010011001110111…
…010111001010001001010011
3121000201020221212010002001202
4123302121313113022021103
5112004301113002444310
61111530543111021415
734512311362121651
oct3362316727121123
9530636855102052
10122211001999955
1135a3843865a640
121185938936a86b
1353265a9457c4b
142227088c71dd1
15e1dec68de3a5
hex6f26775ca253

122211001999955 has 64 divisors (see below), whose sum is σ = 168949901979648. Its totient is φ = 83998143989760.

The previous prime is 122211001999951. The next prime is 122211001999967. The reversal of 122211001999955 is 559999100112221.

It is not a de Polignac number, because 122211001999955 - 22 = 122211001999951 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122211001999955.

It is not an unprimeable number, because it can be changed into a prime (122211001999951) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43965062 + ... + 46662068.

It is an arithmetic number, because the mean of its divisors is an integer number (2639842218432).

Almost surely, 2122211001999955 is an apocalyptic number.

122211001999955 is a deficient number, since it is larger than the sum of its proper divisors (46738899979693).

122211001999955 is a wasteful number, since it uses less digits than its factorization.

122211001999955 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697476.

The product of its (nonzero) digits is 1312200, while the sum is 56.

The spelling of 122211001999955 in words is "one hundred twenty-two trillion, two hundred eleven billion, one million, nine hundred ninety-nine thousand, nine hundred fifty-five".

Divisors: 1 5 11 23 55 113 115 253 317 565 1243 1265 1585 2599 3487 6215 7291 12995 17435 28589 35821 36455 80201 142945 179105 394031 401005 823883 1970155 2697007 4119415 9062713 13485035 29667077 45313565 62031161 148335385 304761791 310155805 682342771 854951219 1523808955 3352379701 3411713855 4274756095 7009521193 9404463409 16761898505 19663878037 35047605965 47022317045 77104733123 96609487747 98319390185 216302658407 385523665615 483047438735 1062704365217 1081513292035 2222018218181 5313521826085 11110091090905 24442200399991 122211001999955