Search a number
-
+
1212303120000 = 2735472103087
BaseRepresentation
bin10001101001000010111…
…001011001011010000000
311021220011111012100210120
4101221002321121122000
5124330244044320000
62324531355100240
7153405000332400
oct21510271313200
94256144170716
101212303120000
11428153563265
12176b51a41680
138a4204a047b
14429664cc800
1521804d846a0
hex11a42e59680

1212303120000 has 480 divisors, whose sum is σ = 4680951865920. Its totient is φ = 277095168000.

The previous prime is 1212303119999. The next prime is 1212303120059. The reversal of 1212303120000 is 213032121.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11708457 + ... + 11811543.

It is an arithmetic number, because the mean of its divisors is an integer number (9751983054).

Almost surely, 21212303120000 is an apocalyptic number.

1212303120000 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 1212303120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340475932960).

1212303120000 is an abundant number, since it is smaller than the sum of its proper divisors (3468648745920).

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

1212303120000 is an equidigital number, since it uses as much as digits as its factorization.

1212303120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103138 (or 103104 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1212303120000 its reverse (213032121), we get a palindrome (1212516152121).

The spelling of 1212303120000 in words is "one trillion, two hundred twelve billion, three hundred three million, one hundred twenty thousand".