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12221101002330 = 23251123749316151
BaseRepresentation
bin1011000111010111001001…
…1000100100111001011010
31121021022210112121202210200
42301311302120210321122
53100212303324033310
641554143555523030
72400642163352523
oct261656230447132
947238715552720
1012221101002330
113991a37a04400
121454645bb9476
136a85a252864c
1430370c2a584a
15162d73ae39c0
hexb1d72624e5a

12221101002330 has 288 divisors, whose sum is σ = 35883144146304. Its totient is φ = 2881565280000.

The previous prime is 12221101002283. The next prime is 12221101002359. The reversal of 12221101002330 is 3320010112221.

12221101002330 is a `hidden beast` number, since 1 + 2 + 221 + 10 + 100 + 2 + 330 = 666.

12221101002330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1986844755 + ... + 1986850905.

It is an arithmetic number, because the mean of its divisors is an integer number (124594250508).

Almost surely, 212221101002330 is an apocalyptic number.

12221101002330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221101002330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17941572073152).

12221101002330 is an abundant number, since it is smaller than the sum of its proper divisors (23662043143974).

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

12221101002330 is a wasteful number, since it uses less digits than its factorization.

12221101002330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11154 (or 11140 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12221101002330 its reverse (3320010112221), we get a palindrome (15541111114551).

The spelling of 12221101002330 in words is "twelve trillion, two hundred twenty-one billion, one hundred one million, two thousand, three hundred thirty".