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123141200424 = 233113712606593
BaseRepresentation
bin111001010101111001…
…0011001101000101000
3102202211220220010101220
41302223302121220220
54004143121403144
6132323103142040
711616360635064
oct1625362315050
9382756803356
10123141200424
1148250aa7530
121ba478a4920
13b7c5c09448
145d625c6aa4
15330ab3b919
hex1cabc99a28

123141200424 has 64 divisors (see below), whose sum is σ = 344916411840. Its totient is φ = 36306984960.

The previous prime is 123141200419. The next prime is 123141200431. The reversal of 123141200424 is 424002141321.

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

It is a junction number, because it is equal to n+sod(n) for n = 123141200394 and 123141200403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6293529 + ... + 6313064.

It is an arithmetic number, because the mean of its divisors is an integer number (5389318935).

Almost surely, 2123141200424 is an apocalyptic number.

It is an amenable number.

123141200424 is an abundant number, since it is smaller than the sum of its proper divisors (221775211416).

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

123141200424 is a wasteful number, since it uses less digits than its factorization.

123141200424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12606650 (or 12606646 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 123141200424 its reverse (424002141321), we get a palindrome (547143341745).

The spelling of 123141200424 in words is "one hundred twenty-three billion, one hundred forty-one million, two hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 4884 9768 12606593 25213186 37819779 50426372 75639558 100852744 138672523 151279116 277345046 302558232 416017569 466443941 554690092 832035138 932887882 1109380184 1399331823 1664070276 1865775764 2798663646 3328140552 3731551528 5130883351 5597327292 10261766702 11194654584 15392650053 20523533404 30785300106 41047066808 61570600212 123141200424