Search a number
-
+
123420012432 = 24319135328961
BaseRepresentation
bin111001011110001100…
…1111110111110010000
3102210120100112020120120
41302330121332332100
54010231010344212
6132410503110240
711626314540063
oct1627431767620
9383510466516
10123420012432
114838441a082
121bb05142380
13b83b8c9172
145d8b6428da
15332536288c
hex1cbc67ef90

123420012432 has 40 divisors (see below), whose sum is σ = 335615825760. Its totient is φ = 38974740480.

The previous prime is 123420012347. The next prime is 123420012437. The reversal of 123420012432 is 234210024321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (123420012437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67663569 + ... + 67665392.

It is an arithmetic number, because the mean of its divisors is an integer number (8390395644).

Almost surely, 2123420012432 is an apocalyptic number.

123420012432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123420012432 is an abundant number, since it is smaller than the sum of its proper divisors (212195813328).

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

123420012432 is a wasteful number, since it uses less digits than its factorization.

123420012432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135328991 (or 135328985 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 123420012432 its reverse (234210024321), we get a palindrome (357630036753).

The spelling of 123420012432 in words is "one hundred twenty-three billion, four hundred twenty million, twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 135328961 270657922 405986883 541315844 811973766 1082631688 1623947532 2165263376 2571250259 3247895064 5142500518 6495790128 7713750777 10285001036 15427501554 20570002072 30855003108 41140004144 61710006216 123420012432