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12002022112 = 253755718199
BaseRepresentation
bin10110010110110000…
…00101001011100000
31010222102220220011111
423023120011023200
5144040004201422
65302540553104
7603264335053
oct131330051340
933872826144
1012002022112
1150a9912943
1223ab552794
1311936c2042
1481bdc6a9a
154a3a1ea77
hex2cb6052e0

12002022112 has 48 divisors (see below), whose sum is σ = 24312506400. Its totient is φ = 5828018688.

The previous prime is 12002022101. The next prime is 12002022143. The reversal of 12002022112 is 21122020021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12002022092 and 12002022101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 650389 + ... + 668587.

It is an arithmetic number, because the mean of its divisors is an integer number (506510550).

Almost surely, 212002022112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12156253200).

12002022112 is an abundant number, since it is smaller than the sum of its proper divisors (12310484288).

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

12002022112 is a wasteful number, since it uses less digits than its factorization.

12002022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18803 (or 18795 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12002022112 its reverse (21122020021), we get a palindrome (33124042133).

The spelling of 12002022112 in words is "twelve billion, two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 37 74 148 296 557 592 1114 1184 2228 4456 8912 17824 18199 20609 36398 41218 72796 82436 145592 164872 291184 329744 582368 659488 673363 1346726 2693452 5386904 10136843 10773808 20273686 21547616 40547372 81094744 162189488 324378976 375063191 750126382 1500252764 3000505528 6001011056 12002022112