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122311404 = 223310111213
BaseRepresentation
bin1110100101001…
…01001011101100
322112011001201000
413102211023230
5222302431104
620045320300
73013426005
oct722451354
9275131630
10122311404
1163050406
1234b66090
131c456017
141235c1ac
15ab10639
hex74a52ec

122311404 has 48 divisors (see below), whose sum is σ = 320271840. Its totient is φ = 40363200.

The previous prime is 122311403. The next prime is 122311457. The reversal of 122311404 is 404113221.

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 (122311403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5302 + ... + 16514.

It is an arithmetic number, because the mean of its divisors is an integer number (6672330).

Almost surely, 2122311404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122311404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160135920).

122311404 is an abundant number, since it is smaller than the sum of its proper divisors (197960436).

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

122311404 is a wasteful number, since it uses less digits than its factorization.

122311404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11327 (or 11319 counting only the distinct ones).

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

The square root of 122311404 is about 11059.4486300177. The cubic root of 122311404 is about 496.3891922379.

Adding to 122311404 its reverse (404113221), we get a palindrome (526424625).

The spelling of 122311404 in words is "one hundred twenty-two million, three hundred eleven thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 303 404 606 909 1212 1818 2727 3636 5454 10908 11213 22426 33639 44852 67278 100917 134556 201834 302751 403668 605502 1132513 1211004 2265026 3397539 4530052 6795078 10192617 13590156 20385234 30577851 40770468 61155702 122311404