Search a number
-
+
220012221020000 = 2554192331812033
BaseRepresentation
bin110010000001100110010110…
…010001111011011101100000
31001211222221222222002201000112
4302001212112101323131200
5212314140012040120000
62055532115150310452
764225233636315353
oct6201462621733540
91054887888081015
10220012221020000
1164114728071612
1220813a137b8428
13959c0a94411a6
143c48910d9429a
151a68051ca3235
hexc8199647b760

220012221020000 has 480 divisors, whose sum is σ = 613701256734720. Its totient is φ = 77175521280000.

The previous prime is 220012221019993. The next prime is 220012221020089. The reversal of 220012221020000 is 20122210022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 270533984 + ... + 271346016.

It is an arithmetic number, because the mean of its divisors is an integer number (1278544284864).

Almost surely, 2220012221020000 is an apocalyptic number.

220012221020000 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 220012221020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306850628367360).

220012221020000 is an abundant number, since it is smaller than the sum of its proper divisors (393689035714720).

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

220012221020000 is a wasteful number, since it uses less digits than its factorization.

220012221020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812136 (or 812113 counting only the distinct ones).

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

Adding to 220012221020000 its reverse (20122210022), we get a palindrome (220032343230022).

The spelling of 220012221020000 in words is "two hundred twenty trillion, twelve billion, two hundred twenty-one million, twenty thousand".