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122222211112122 = 23112500693362363
BaseRepresentation
bin11011110010100100010011…
…011110100001110010111010
3121000202022220001000222021020
4123302210103132201302322
5112004442042021041442
61111540035245123310
734513156221033162
oct3362442336416272
9530668801028236
10122222211112122
1135a4216a934500
121185b597259536
1353276747aa2b4
14222782d8175a2
15e1e4309d79ec
hex6f29137a1cba

122222211112122 has 48 divisors (see below), whose sum is σ = 268692290506080. Its totient is φ = 37036282935520.

The previous prime is 122222211112097. The next prime is 122222211112123. The reversal of 122222211112122 is 221211112222221.

It is a super-2 number, since 2×1222222111121222 (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122222211112092 and 122222211112101.

It is not an unprimeable number, because it can be changed into a prime (122222211112123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34668913 + ... + 38031275.

It is an arithmetic number, because the mean of its divisors is an integer number (5597756052210).

Almost surely, 2122222211112122 is an apocalyptic number.

122222211112122 is an abundant number, since it is smaller than the sum of its proper divisors (146470079393958).

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

122222211112122 is a wasteful number, since it uses less digits than its factorization.

122222211112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412459 (or 3412448 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

Adding to 122222211112122 its reverse (221211112222221), we get a palindrome (343433323334343).

The spelling of 122222211112122 in words is "one hundred twenty-two trillion, two hundred twenty-two billion, two hundred eleven million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 50069 100138 150207 300414 550759 1101518 1652277 3304554 3362363 6058349 6724726 10087089 12116698 18175047 20174178 36350094 36985993 73971986 110957979 221915958 406845923 813691846 1220537769 2441075538 168350153047 336700306094 505050459141 1010100918282 1851851683517 3703703367034 5555555050551 11111110101102 20370368518687 40740737037374 61111105556061 122222211112122