Search a number
-
+
12293120000 = 2135474
BaseRepresentation
bin10110111001011101…
…00010000000000000
31011201201200012101202
423130232202000000
5200134014320000
65351500120332
7613430540000
oct133456420000
934651605352
1012293120000
115239167007
122470b360a8
13120bac3c05
14848920000
154be370dd5
hex2dcba2000

12293120000 has 350 divisors, whose sum is σ = 35839139523. Its totient is φ = 4214784000.

The previous prime is 12293119997. The next prime is 12293120003. The reversal of 12293120000 is 2139221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (12293119997) and next prime (12293120003).

It can be written as a sum of positive squares in 3 ways, for example, as 2842169344 + 9450950656 = 53312^2 + 97216^2 .

It is a tau number, because it is divible by the number of its divisors (350).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=78400.

It is a super-2 number, since 2×122931200002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12293120003) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 1756159997 + ... + 1756160003.

Almost surely, 212293120000 is an apocalyptic number.

12293120000 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 12293120000

12293120000 is an abundant number, since it is smaller than the sum of its proper divisors (23546019523).

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

12293120000 is an frugal number, since it uses more digits than its factorization.

12293120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12293120000 its reverse (2139221), we get a palindrome (12295259221).

The spelling of 12293120000 in words is "twelve billion, two hundred ninety-three million, one hundred twenty thousand".