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123011123312 = 247211193161397
BaseRepresentation
bin111001010010000001…
…0001100100001110000
3102202111212010112011002
41302210002030201300
54003411321421222
6132302135141132
711613221203400
oct1624402144160
9382455115132
10123011123312
1148194632690
121ba102147a8
13b7a4c9483c
145d4d206800
1532ee4e5392
hex1ca408c870

123011123312 has 480 divisors, whose sum is σ = 334867138560. Its totient is φ = 43110144000.

The previous prime is 123011123309. The next prime is 123011123371. The reversal of 123011123312 is 213321110321.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 309851498 + ... + 309851894.

It is an arithmetic number, because the mean of its divisors is an integer number (697639872).

Almost surely, 2123011123312 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 123011123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167433569280).

123011123312 is an abundant number, since it is smaller than the sum of its proper divisors (211856015248).

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

123011123312 is a wasteful number, since it uses less digits than its factorization.

123011123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 123011123312 its reverse (213321110321), we get a palindrome (336332233633).

The spelling of 123011123312 in words is "one hundred twenty-three billion, eleven million, one hundred twenty-three thousand, three hundred twelve".