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12399224801040 = 243257112235914983
BaseRepresentation
bin1011010001101110101101…
…1000111100011100010000
31121220100120021222021201200
42310123223120330130100
53111122103022113130
642212043015031200
72416546230563160
oct264335330743420
947810507867650
1012399224801040
113a50533175800
12148307736b500
136bc31b54c7cc
1430c1a8c305a0
151677eb740760
hexb46eb63c710

12399224801040 has 1440 divisors, whose sum is σ = 55512166993920. Its totient is φ = 2422510295040.

The previous prime is 12399224801027. The next prime is 12399224801053. The reversal of 12399224801040 is 4010842299321.

12399224801040 is a `hidden beast` number, since 1 + 2 + 39 + 92 + 2 + 480 + 10 + 40 = 666.

12399224801040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12399224801027) and next prime (12399224801053).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 827545389 + ... + 827560371.

It is an arithmetic number, because the mean of its divisors is an integer number (38550115968).

Almost surely, 212399224801040 is an apocalyptic number.

12399224801040 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 12399224801040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27756083496960).

12399224801040 is an abundant number, since it is smaller than the sum of its proper divisors (43112942192880).

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

12399224801040 is a wasteful number, since it uses less digits than its factorization.

12399224801040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15113 (or 15093 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 12399224801040 in words is "twelve trillion, three hundred ninety-nine billion, two hundred twenty-four million, eight hundred one thousand, forty".