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12372227712 = 273413223307
BaseRepresentation
bin10111000010111000…
…10011011010000000
31011221020112021210000
423201130103122000
5200314242241322
65403403440000
7615411125505
oct134134233200
934836467700
1012372227712
115279888889
122493526000
131222301100
148552334ac
154c629a3ac
hex2e1713680

12372227712 has 480 divisors, whose sum is σ = 41738669280. Its totient is φ = 3629463552.

The previous prime is 12372227711. The next prime is 12372227713. The reversal of 12372227712 is 21772227321.

12372227712 is a `hidden beast` number, since 1 + 2 + 372 + 2 + 277 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (12372227711) and next prime (12372227713).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12372227711) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40300263 + ... + 40300569.

It is an arithmetic number, because the mean of its divisors is an integer number (86955561).

Almost surely, 212372227712 is an apocalyptic number.

12372227712 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 12372227712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20869334640).

12372227712 is an abundant number, since it is smaller than the sum of its proper divisors (29366441568).

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

12372227712 is a wasteful number, since it uses less digits than its factorization.

12372227712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 348 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The spelling of 12372227712 in words is "twelve billion, three hundred seventy-two million, two hundred twenty-seven thousand, seven hundred twelve".