Search a number
-
+
22212201201120 = 2533576197124139
BaseRepresentation
bin1010000110011101011100…
…10111001011110111100000
32220122110120111022021112000
411003032232113023313200
510402411042001413440
6115124051103204000
74451531023666620
oct503165627136740
986573514267460
1022212201201120
117094161564007
1225a8a592a6600
13c517a88b69b8
1456b10d422880
15287bcc54d730
hex1433ae5cbde0

22212201201120 has 768 divisors, whose sum is σ = 91237060454400. Its totient is φ = 4942321090560.

The previous prime is 22212201201097. The next prime is 22212201201143. The reversal of 22212201201120 is 2110210221222.

It is a happy number.

22212201201120 is a `hidden beast` number, since 2 + 221 + 220 + 1 + 201 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (22212201201097) and next prime (22212201201143).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22212201201093 and 22212201201102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 178868011 + ... + 178992149.

It is an arithmetic number, because the mean of its divisors is an integer number (118798255800).

Almost surely, 222212201201120 is an apocalyptic number.

22212201201120 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 22212201201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45618530227200).

22212201201120 is an abundant number, since it is smaller than the sum of its proper divisors (69024859253280).

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

22212201201120 is a wasteful number, since it uses less digits than its factorization.

22212201201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124328 (or 124314 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22212201201120 its reverse (2110210221222), we get a palindrome (24322411422342).

The spelling of 22212201201120 in words is "twenty-two trillion, two hundred twelve billion, two hundred one million, two hundred one thousand, one hundred twenty".