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312111020000 = 2554134725541
BaseRepresentation
bin1001000101010110100…
…01000011011111100000
31002211121112221120220102
410202223101003133200
520103200410120000
6355214250201532
731356254616503
oct4425321033740
91084545846812
10312111020000
1111040259693a
12505a54232a8
132357cc94b30
141116b7bd13a
1581baa5e3d5
hex48ab4437e0

312111020000 has 240 divisors, whose sum is σ = 844531313472. Its totient is φ = 112784640000.

The previous prime is 312111019999. The next prime is 312111020021. The reversal of 312111020000 is 20111213.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12207230 + ... + 12232770.

Almost surely, 2312111020000 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 312111020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422265656736).

312111020000 is an abundant number, since it is smaller than the sum of its proper divisors (532420293472).

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

312111020000 is a wasteful number, since it uses less digits than its factorization.

312111020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25631 (or 25608 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 312111020000 its reverse (20111213), we get a palindrome (312131131213).

The spelling of 312111020000 in words is "three hundred twelve billion, one hundred eleven million, twenty thousand".