Search a number
-
+
12215021214400 = 265231435727223
BaseRepresentation
bin1011000111000000100000…
…0000000001101011000000
31121020202002211102112122221
42301300020000001223000
53100112330412330100
641551300412540424
72400335420123344
oct261601000015300
947222084375587
1012215021214400
11398a3a8037784
121453429a81714
136a7b43a74bb4
143032d2a47624
15162b19e9a01a
hexb1c08001ac0

12215021214400 has 168 divisors, whose sum is σ = 31747697890304. Its totient is φ = 4618431820800.

The previous prime is 12215021214301. The next prime is 12215021214421. The reversal of 12215021214400 is 441212051221.

It is a super-3 number, since 3×122150212144003 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 730812 + ... + 4996411.

Almost surely, 212215021214400 is an apocalyptic number.

12215021214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12215021214400 is an abundant number, since it is smaller than the sum of its proper divisors (19532676675904).

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

12215021214400 is a wasteful number, since it uses less digits than its factorization.

12215021214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5727319 (or 5727304 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 12215021214400 its reverse (441212051221), we get a palindrome (12656233265621).

The spelling of 12215021214400 in words is "twelve trillion, two hundred fifteen billion, twenty-one million, two hundred fourteen thousand, four hundred".