Search a number
-
+
222011121200000 = 27551171710663
BaseRepresentation
bin110010011110101011111110…
…000000111110101110000000
31002010002001111202102220120112
4302132223332000332232000
5213044412234011400000
62104102300122330452
764522526355440216
oct6236537600765600
91063061452386515
10222011121200000
116481542a110350
1220a972ab359a28
1396b5735b887a2
143cb7577750cb6
151aa0043433235
hexc9eafe03eb80

222011121200000 has 384 divisors, whose sum is σ = 611576061626880. Its totient is φ = 79594144000000.

The previous prime is 222011121199991. The next prime is 222011121200051. The reversal of 222011121200000 is 2121110222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312044669 + ... + 312755331.

It is an arithmetic number, because the mean of its divisors is an integer number (1592645993820).

Almost surely, 2222011121200000 is an apocalyptic number.

222011121200000 is a gapful number since it is divisible by the number (20) 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 222011121200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305788030813440).

222011121200000 is an abundant number, since it is smaller than the sum of its proper divisors (389564940426880).

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

222011121200000 is an frugal number, since it uses more digits than its factorization.

222011121200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710784 (or 710752 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 222011121200000 its reverse (2121110222), we get a palindrome (222013242310222).

The spelling of 222011121200000 in words is "two hundred twenty-two trillion, eleven billion, one hundred twenty-one million, two hundred thousand".