Search a number
-
+
212202011200000 = 2955239759447
BaseRepresentation
bin110000001111111100100001…
…011111111000101000000000
31000211100022111000102101121011
4300033330201133320220000
5210303204204331400000
62031152131432410304
762461042441234063
oct6017744137705000
91024308430371534
10212202011200000
1161683405255708
121b972208246994
139153743866ab3
143a588bc8568da
15197ecdbcaa2ba
hexc0ff217f8a00

212202011200000 has 480 divisors, whose sum is σ = 558704846101248. Its totient is φ = 80351969280000.

The previous prime is 212202011199929. The next prime is 212202011200007. The reversal of 212202011200000 is 2110202212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (212202011200007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3569570277 + ... + 3569629723.

Almost surely, 2212202011200000 is an apocalyptic number.

212202011200000 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 212202011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279352423050624).

212202011200000 is an abundant number, since it is smaller than the sum of its proper divisors (346502834901248).

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

212202011200000 is an frugal number, since it uses more digits than its factorization.

212202011200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59610 (or 59574 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212202011200000 its reverse (2110202212), we get a palindrome (212204121402212).

The spelling of 212202011200000 in words is "two hundred twelve trillion, two hundred two billion, eleven million, two hundred thousand".