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122342433132 = 22319536589619
BaseRepresentation
bin111000111110000101…
…1010110000101101100
3102200210020212112200010
41301330023112011230
54001024130330012
6132111530533220
711560521344343
oct1617413260554
9380706775603
10122342433132
1147981128877
121b864297210
13b6c959868a
145cc849cb5a
1532b0959c3c
hex1c7c2d616c

122342433132 has 24 divisors (see below), whose sum is σ = 300490187200. Its totient is φ = 38634452496.

The previous prime is 122342433127. The next prime is 122342433133. The reversal of 122342433132 is 231334243221.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 122342433132.

It is not an unprimeable number, because it can be changed into a prime (122342433133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268294582 + ... + 268295037.

Almost surely, 2122342433132 is an apocalyptic number.

122342433132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122342433132 is an abundant number, since it is smaller than the sum of its proper divisors (178147754068).

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

122342433132 is a wasteful number, since it uses less digits than its factorization.

122342433132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536589645 (or 536589643 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

Adding to 122342433132 its reverse (231334243221), we get a palindrome (353676676353).

It can be divided in two parts, 12234 and 2433132, that added together give a triangular number (2445366 = T2211).

The spelling of 122342433132 in words is "one hundred twenty-two billion, three hundred forty-two million, four hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 536589619 1073179238 1609768857 2146358476 3219537714 6439075428 10195202761 20390405522 30585608283 40780811044 61171216566 122342433132