Search a number
-
+
1221112200000 = 2635571126431
BaseRepresentation
bin10001110001001111111…
…101010111101101000000
311022201220102000222210210
4101301033331113231000
5130001314210400000
62332545440154120
7154136204304360
oct21611775275500
94281812028723
101221112200000
11430964003470
121787b0008940
138b1c5525344
14431604069a0
1521b6d3ec350
hex11c4ff57b40

1221112200000 has 672 divisors, whose sum is σ = 5034973741056. Its totient is φ = 253728000000.

The previous prime is 1221112199927. The next prime is 1221112200037. The reversal of 1221112200000 is 22111221.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×12211122000002 (a number of 25 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 46186785 + ... + 46213215.

It is an arithmetic number, because the mean of its divisors is an integer number (7492520448).

Almost surely, 21221112200000 is an apocalyptic number.

1221112200000 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 1221112200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517486870528).

1221112200000 is an abundant number, since it is smaller than the sum of its proper divisors (3813861541056).

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

1221112200000 is an equidigital number, since it uses as much as digits as its factorization.

1221112200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26489 (or 26459 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1221112200000 its reverse (22111221), we get a palindrome (1221134311221).

The spelling of 1221112200000 in words is "one trillion, two hundred twenty-one billion, one hundred twelve million, two hundred thousand".