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12119977200 = 24352411811361
BaseRepresentation
bin10110100100110100…
…00010110011110000
31011021122212122010110
423102122002303300
5144310203232300
65322353101320
7606226051332
oct132232026360
934248778113
1012119977200
11515a458291
122422b57840
1311b1c81256
1482d92d452
154ae06e550
hex2d2682cf0

12119977200 has 240 divisors, whose sum is σ = 40020376032. Its totient is φ = 3133440000.

The previous prime is 12119977193. The next prime is 12119977249. The reversal of 12119977200 is 277991121.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8904520 + ... + 8905880.

Almost surely, 212119977200 is an apocalyptic number.

12119977200 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 12119977200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20010188016).

12119977200 is an abundant number, since it is smaller than the sum of its proper divisors (27900398832).

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

12119977200 is a wasteful number, since it uses less digits than its factorization.

12119977200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 39.

The spelling of 12119977200 in words is "twelve billion, one hundred nineteen million, nine hundred seventy-seven thousand, two hundred".