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12033102141240 = 23351743229599023
BaseRepresentation
bin1010111100011010110011…
…0001110101011100111000
31120121100112120121002221120
42233012230301311130320
53034122243122004430
641331533015505240
72351235326404635
oct257065461653470
946540476532846
1012033102141240
11391a234502524
121424119688220
1369394167c4cb
142d859601b18c
1515d01e067610
hexaf1acc75738

12033102141240 has 256 divisors, whose sum is σ = 39282556262400. Its totient is φ = 2936952152064.

The previous prime is 12033102141163. The next prime is 12033102141271. The reversal of 12033102141240 is 4214120133021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12033102141240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19788369 + ... + 20387391.

It is an arithmetic number, because the mean of its divisors is an integer number (153447485400).

Almost surely, 212033102141240 is an apocalyptic number.

12033102141240 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 12033102141240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19641278131200).

12033102141240 is an abundant number, since it is smaller than the sum of its proper divisors (27249454121160).

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

12033102141240 is a wasteful number, since it uses less digits than its factorization.

12033102141240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599326 (or 599322 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12033102141240 its reverse (4214120133021), we get a palindrome (16247222274261).

The spelling of 12033102141240 in words is "twelve trillion, thirty-three billion, one hundred two million, one hundred forty-one thousand, two hundred forty".