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122022121122 = 232112232435863
BaseRepresentation
bin111000110100100010…
…1011100111010100010
3102122221221011000012100
41301221011130322202
53444400130333442
6132020045311230
711546551626156
oct1615105347242
9378857130170
10122022121122
1147827340700
121b794b65516
13b678108445
145c97b1d066
15329278784c
hex1c6915cea2

122022121122 has 72 divisors (see below), whose sum is σ = 303235837632. Its totient is φ = 35368716240.

The previous prime is 122022121097. The next prime is 122022121147. The reversal of 122022121122 is 221121220221.

It is a happy number.

122022121122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (122022121097) and next prime (122022121147).

It is a super-2 number, since 2×1220221211222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122022121095 and 122022121104.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1167838 + ... + 1268025.

It is an arithmetic number, because the mean of its divisors is an integer number (4211608856).

Almost surely, 2122022121122 is an apocalyptic number.

122022121122 is an abundant number, since it is smaller than the sum of its proper divisors (181213716510).

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

122022121122 is a wasteful number, since it uses less digits than its factorization.

122022121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435916 (or 2435902 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122022121122 its reverse (221121220221), we get a palindrome (343143341343).

Subtracting 122022121122 from its reverse (221121220221), we obtain a palindrome (99099099099).

The spelling of 122022121122 in words is "one hundred twenty-two billion, twenty-two million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 121 138 198 207 242 253 363 414 506 726 759 1089 1518 2178 2277 2783 4554 5566 8349 16698 25047 50094 2435863 4871726 7307589 14615178 21922767 26794493 43845534 53588986 56024849 80383479 112049698 160766958 168074547 241150437 294739423 336149094 482300874 504223641 589478846 616273339 884218269 1008447282 1232546678 1768436538 1848820017 2652654807 3697640034 5305309614 5546460051 6779006729 11092920102 13558013458 20337020187 40674040374 61011060561 122022121122