Search a number
-
+
12020220202200 = 233527172959611613
BaseRepresentation
bin1010111011101010110011…
…1101001000110011011000
31120120010021210221210200020
42232322230331020303120
53033414402332432300
641322002443110440
72350301155624230
oct256725475106330
946503253853606
1012020220202200
113914823a35011
121421723512420
1369266a8a5c82
142d7ad3224cc0
1515ca181868a0
hexaeeacf48cd8

12020220202200 has 1536 divisors, whose sum is σ = 48243983616000. Its totient is φ = 2412645580800.

The previous prime is 12020220202189. The next prime is 12020220202223. The reversal of 12020220202200 is 220202202021.

It is a super-3 number, since 3×120202202022003 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12020220202200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7452088594 + ... + 7452090206.

It is an arithmetic number, because the mean of its divisors is an integer number (31408843500).

Almost surely, 212020220202200 is an apocalyptic number.

12020220202200 is a gapful number since it is divisible by the number (10) 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 12020220202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24121991808000).

12020220202200 is an abundant number, since it is smaller than the sum of its proper divisors (36223763413800).

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

12020220202200 is a wasteful number, since it uses less digits than its factorization.

12020220202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 12020220202200 its reverse (220202202021), we get a palindrome (12240422404221).

The spelling of 12020220202200 in words is "twelve trillion, twenty billion, two hundred twenty million, two hundred two thousand, two hundred".