Search a number
-
+
12303122210000 = 245431149266359
BaseRepresentation
bin1011001100001000101100…
…1110101001110011010000
31121120011111201222211110222
42303002023032221303100
53103033243241210000
642055550515012212
72406604560205046
oct263021316516320
947504451884428
1012303122210000
113a137a7822746
12146851689a068
136b324432181b
1430768d65a396
15165074763a85
hexb308b3a9cd0

12303122210000 has 200 divisors, whose sum is σ = 30954441408000. Its totient is φ = 4730518080000.

The previous prime is 12303122209991. The next prime is 12303122210003. The reversal of 12303122210000 is 1222130321.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×123031222100002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12303122210003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46056821 + ... + 46323179.

It is an arithmetic number, because the mean of its divisors is an integer number (154772207040).

Almost surely, 212303122210000 is an apocalyptic number.

12303122210000 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 12303122210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15477220704000).

12303122210000 is an abundant number, since it is smaller than the sum of its proper divisors (18651319198000).

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

12303122210000 is a wasteful number, since it uses less digits than its factorization.

12303122210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266567 (or 266546 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12303122210000 its reverse (1222130321), we get a palindrome (12304344340321).

The spelling of 12303122210000 in words is "twelve trillion, three hundred three billion, one hundred twenty-two million, two hundred ten thousand".