Search a number
-
+
2222120012000 = 2553732955849
BaseRepresentation
bin100000010101100000101…
…011001000100011100000
321212102200100211120110012
4200111200223020203200
5242401400210341000
64420454451424052
7316354130312000
oct40254053104340
97772610746405
102222120012000
117874398a8439
122ba7b35b5028
13131711534a35
14797a0632000
153cc08389735
hex20560ac88e0

2222120012000 has 384 divisors, whose sum is σ = 6586725600000. Its totient is φ = 735585177600.

The previous prime is 2222120011963. The next prime is 2222120012053. The reversal of 2222120012000 is 2100212222.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39760076 + ... + 39815924.

It is an arithmetic number, because the mean of its divisors is an integer number (17152931250).

Almost surely, 22222120012000 is an apocalyptic number.

2222120012000 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 2222120012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293362800000).

2222120012000 is an abundant number, since it is smaller than the sum of its proper divisors (4364605588000).

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

2222120012000 is an equidigital number, since it uses as much as digits as its factorization.

2222120012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55924 (or 55892 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2222120012000 its reverse (2100212222), we get a palindrome (2224220224222).

The spelling of 2222120012000 in words is "two trillion, two hundred twenty-two billion, one hundred twenty million, twelve thousand".