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12211112221152 = 25313103540717569
BaseRepresentation
bin1011000110110001111100…
…0000011001100111100000
31121020101000101222010000020
42301230133000121213200
53100031324212034102
641545412453353440
72400136513204515
oct261543700314740
947211011863006
1012211112221152
113988781562249
121452718938880
136a766cc68740
1430304182330c
1516298bbeebbc
hexb1b1f0199e0

12211112221152 has 192 divisors, whose sum is σ = 34863449886720. Its totient is φ = 3719887110144.

The previous prime is 12211112221039. The next prime is 12211112221153. The reversal of 12211112221152 is 25112221111221.

It is a super-2 number, since 2×122111122211522 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211112221153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 695028624 + ... + 695046192.

It is an arithmetic number, because the mean of its divisors is an integer number (181580468160).

Almost surely, 212211112221152 is an apocalyptic number.

12211112221152 is a gapful number since it is divisible by the number (12) 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 12211112221152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17431724943360).

12211112221152 is an abundant number, since it is smaller than the sum of its proper divisors (22652337665568).

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

12211112221152 is a wasteful number, since it uses less digits than its factorization.

12211112221152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23105 (or 23097 counting only the distinct ones).

The product of its digits is 320, while the sum is 24.

Adding to 12211112221152 its reverse (25112221111221), we get a palindrome (37323333332373).

The spelling of 12211112221152 in words is "twelve trillion, two hundred eleven billion, one hundred twelve million, two hundred twenty-one thousand, one hundred fifty-two".