Search a number
-
+
12033211202430 = 235113716331719073
BaseRepresentation
bin1010111100011011001101…
…0001110111101101111110
31120121100211011210222202220
42233012303101313231332
53034123004031434210
641331551513230210
72351241122406405
oct257066321675576
946540734728686
1012033211202430
11391a290022840
12142414a102366
1369395b146462
142d85a66ca63c
1515d02890bc70
hexaf1b3477b7e

12033211202430 has 256 divisors, whose sum is σ = 32659541646336. Its totient is φ = 2811841413120.

The previous prime is 12033211202413. The next prime is 12033211202449. The reversal of 12033211202430 is 3420211233021.

It is a self number, because there is not a number n which added to its sum of digits gives 12033211202430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 630893374 + ... + 630912446.

It is an arithmetic number, because the mean of its divisors is an integer number (127576334556).

Almost surely, 212033211202430 is an apocalyptic number.

12033211202430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12033211202430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329770823168).

12033211202430 is an abundant number, since it is smaller than the sum of its proper divisors (20626330443906).

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

12033211202430 is a wasteful number, since it uses less digits than its factorization.

12033211202430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19611.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12033211202430 its reverse (3420211233021), we get a palindrome (15453422435451).

The spelling of 12033211202430 in words is "twelve trillion, thirty-three billion, two hundred eleven million, two hundred two thousand, four hundred thirty".