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12348996800 = 265271958031
BaseRepresentation
bin10111000000000111…
…01011110011000000
31011212121211000221212
423200003223303000
5200242320344200
65401213505252
7615006512060
oct134003536300
934777730855
1012348996800
115267761088
1224877a2228
13121a5591ca
148521073a0
154c420c035
hex2e00ebcc0

12348996800 has 168 divisors, whose sum is σ = 36555517440. Its totient is φ = 4011033600.

The previous prime is 12348996799. The next prime is 12348996817. The reversal of 12348996800 is 869984321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183785 + ... + 241815.

Almost surely, 212348996800 is an apocalyptic number.

12348996800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12348996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18277758720).

12348996800 is an abundant number, since it is smaller than the sum of its proper divisors (24206520640).

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

12348996800 is a wasteful number, since it uses less digits than its factorization.

12348996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58079 (or 58064 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 50.

The spelling of 12348996800 in words is "twelve billion, three hundred forty-eight million, nine hundred ninety-six thousand, eight hundred".