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12514300400000 = 2755729229673
BaseRepresentation
bin1011011000011011011001…
…1011100001000110000000
31122022100121010000101221102
42312012312123201012000
53120013241400300000
642340553520313532
72431062013204220
oct266066633410600
948270533011842
1012514300400000
113a953153684a3
1214a1431a728a8
136ca12a4573b9
143139a4154080
1516a7d42243d5
hexb61b66e1180

12514300400000 has 768 divisors, whose sum is σ = 37057096944000. Its totient is φ = 4118446080000.

The previous prime is 12514300399903. The next prime is 12514300400003. The reversal of 12514300400000 is 400341521.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12514300400003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18594799664 + ... + 18594800336.

Almost surely, 212514300400000 is an apocalyptic number.

12514300400000 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 12514300400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18528548472000).

12514300400000 is an abundant number, since it is smaller than the sum of its proper divisors (24542796544000).

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

12514300400000 is an frugal number, since it uses more digits than its factorization.

12514300400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 12514300400000 its reverse (400341521), we get a palindrome (12514700741521).

The spelling of 12514300400000 in words is "twelve trillion, five hundred fourteen billion, three hundred million, four hundred thousand".