Search a number
-
+
12031001202000 = 2435311216571627
BaseRepresentation
bin1010111100010010111110…
…0011011000110101010000
31120121011010011022100010010
42233010233203120311100
53034103442301431000
641330544325234520
72351132265616434
oct257045743306520
946534104270103
1012031001202000
113919356592800
121423831b62a40
13693698322cb1
142d8436da89c4
1515ce498b6d50
hexaf12f8d8d50

12031001202000 has 240 divisors, whose sum is σ = 42634689080256. Its totient is φ = 2916606176000.

The previous prime is 12031001201959. The next prime is 12031001202023. The reversal of 12031001202000 is 20210013021.

12031001202000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7559814 + ... + 9011813.

Almost surely, 212031001202000 is an apocalyptic number.

12031001202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12031001202000 is an abundant number, since it is smaller than the sum of its proper divisors (30603687878256).

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

12031001202000 is a wasteful number, since it uses less digits than its factorization.

12031001202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16571675 (or 16571648 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12031001202000 its reverse (20210013021), we get a palindrome (12051211215021).

The spelling of 12031001202000 in words is "twelve trillion, thirty-one billion, one million, two hundred two thousand".