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121122102222 = 233112696911097
BaseRepresentation
bin111000011001101110…
…0001001101111001110
3102120122012121022101000
41300303130021233032
53441024224232342
6131350455001130
711515342611312
oct1606334115716
9376565538330
10121122102222
11474052a6130
121b5836691a6
13b563806294
145c10399b42
15323d75544c
hex1c33709bce

121122102222 has 128 divisors (see below), whose sum is σ = 295416460800. Its totient is φ = 36481017600.

The previous prime is 121122102203. The next prime is 121122102229. The reversal of 121122102222 is 222201221121.

It is a happy number.

121122102222 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 121122102195 and 121122102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121122102229) 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, 110411578 + ... + 110412674.

It is an arithmetic number, because the mean of its divisors is an integer number (2307941100).

Almost surely, 2121122102222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121122102222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147708230400).

121122102222 is an abundant number, since it is smaller than the sum of its proper divisors (174294358578).

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

121122102222 is a wasteful number, since it uses less digits than its factorization.

121122102222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2073 counting only the distinct ones).

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

Adding to 121122102222 its reverse (222201221121), we get a palindrome (343323323343).

The spelling of 121122102222 in words is "one hundred twenty-one billion, one hundred twenty-two million, one hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 269 297 538 594 691 807 1097 1382 1614 2073 2194 2421 2959 3291 4146 4842 5918 6219 6582 7263 7601 8877 9873 12067 12438 14526 15202 17754 18657 19746 22803 24134 26631 29619 36201 37314 45606 53262 59238 68409 72402 79893 108603 136818 159786 185879 205227 217206 295093 325809 371758 410454 557637 590186 651618 758027 885279 1115274 1516054 1672911 1770558 2044669 2274081 2655837 3246023 3345822 4089338 4548162 5018733 5311674 6134007 6492046 6822243 7967511 8338297 9738069 10037466 12268014 13644486 15935022 16676594 18402021 19476138 20466729 25014891 29214207 36804042 40933458 50029782 55206063 58428414 75044673 87642621 110412126 150089346 175285242 203909263 225134019 407818526 450268038 611727789 1223455578 1835183367 2243001893 3670366734 4486003786 5505550101 6729005679 11011100202 13458011358 20187017037 40374034074 60561051111 121122102222