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122121234 = 23217593673
BaseRepresentation
bin1110100011101…
…10110000010010
322111210101211200
413101312300102
5222230334414
620041252030
73012004404
oct721666022
9274711750
10122121234
1162a30544
1234a94016
131c3ba5b1
141230cb74
15aac4109
hex7476c12

122121234 has 48 divisors (see below), whose sum is σ = 281049912. Its totient is φ = 38191104.

The previous prime is 122121203. The next prime is 122121239. The reversal of 122121234 is 432121221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 113103225 + 9018009 = 10635^2 + 3003^2 .

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

It is not an unprimeable number, because it can be changed into a prime (122121239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181122 + ... + 181794.

Almost surely, 2122121234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122121234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140524956).

122121234 is an abundant number, since it is smaller than the sum of its proper divisors (158928678).

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

122121234 is a wasteful number, since it uses less digits than its factorization.

122121234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1288 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 122121234 is about 11050.8476597952. The cubic root of 122121234 is about 496.1317965101.

Adding to 122121234 its reverse (432121221), we get a palindrome (554242455).

The spelling of 122121234 in words is "one hundred twenty-two million, one hundred twenty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 593 673 1186 1346 1779 2019 3558 4038 5337 6057 10081 10674 11441 12114 20162 22882 30243 34323 60486 68646 90729 102969 181458 205938 399089 798178 1197267 2394534 3591801 6784513 7183602 13569026 20353539 40707078 61060617 122121234