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12217277952 = 29351179113
BaseRepresentation
bin10110110000011010…
…01101111000000000
31011112102222000200000
423120031031320000
5200010110343302
65340150400000
7611520102105
oct133015157000
934472860600
1012217277952
1151aa375830
12244b660000
1311c918b269
1483c81aaac
154b788e31c
hex2d834de00

12217277952 has 480 divisors, whose sum is σ = 40752391680. Its totient is φ = 3622993920.

The previous prime is 12217277921. The next prime is 12217277957. The reversal of 12217277952 is 25977271221.

It is a junction number, because it is equal to n+sod(n) for n = 12217277898 and 12217277907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12217277957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108117448 + ... + 108117560.

It is an arithmetic number, because the mean of its divisors is an integer number (84900816).

Almost surely, 212217277952 is an apocalyptic number.

12217277952 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 12217277952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20376195840).

12217277952 is an abundant number, since it is smaller than the sum of its proper divisors (28535113728).

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

12217277952 is an equidigital number, since it uses as much as digits as its factorization.

12217277952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 208 counting only the distinct ones).

The product of its digits is 246960, while the sum is 45.

The spelling of 12217277952 in words is "twelve billion, two hundred seventeen million, two hundred seventy-seven thousand, nine hundred fifty-two".