Search a number
-
+
12019907687088 = 2437231456736097
BaseRepresentation
bin1010111011101001101001…
…0100111111001010110000
31120120002111000220101112110
42232322122110333022300
53033413232331441323
641321511440525320
72350260342401400
oct256723224771260
946502430811473
1012019907687088
113914683592864
121421656920840
1369261ac158a2
142d7aa3914800
1515c9eaa04793
hexaee9a53f2b0

12019907687088 has 240 divisors, whose sum is σ = 37295441700864. Its totient is φ = 3322657013760.

The previous prime is 12019907687017. The next prime is 12019907687089. The reversal of 12019907687088 is 88078670991021.

It is a super-2 number, since 2×120199076870882 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12019907687089) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332971056 + ... + 333007152.

Almost surely, 212019907687088 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 12019907687088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18647720850432).

12019907687088 is an abundant number, since it is smaller than the sum of its proper divisors (25275534013776).

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

12019907687088 is a wasteful number, since it uses less digits than its factorization.

12019907687088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40720 (or 40707 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 66.

The spelling of 12019907687088 in words is "twelve trillion, nineteen billion, nine hundred seven million, six hundred eighty-seven thousand, eighty-eight".