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12213332221032 = 2335131317151289
BaseRepresentation
bin1011000110111010001101…
…0101000001110001101000
31121020120202010021210100000
42301232203111001301220
53100100401022033112
641550421035543000
72400245520662415
oct261564325016150
947216663253300
1012213332221032
113989710701a98
1214530382baa60
136a7934b80437
143031b25c910c
15162a6ba6c7dc
hexb1ba3541c68

12213332221032 has 192 divisors, whose sum is σ = 34673997758400. Its totient is φ = 4027262353920.

The previous prime is 12213332221021. The next prime is 12213332221093. The reversal of 12213332221032 is 23012223331221.

12213332221032 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 333 + 222 + 103 + 2 = 666.

It is a super-2 number, since 2×122133322210322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12213332220987 and 12213332221005.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80652844 + ... + 80804132.

It is an arithmetic number, because the mean of its divisors is an integer number (180593738325).

Almost surely, 212213332221032 is an apocalyptic number.

12213332221032 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 12213332221032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17336998879200).

12213332221032 is an abundant number, since it is smaller than the sum of its proper divisors (22460665537368).

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

12213332221032 is a wasteful number, since it uses less digits than its factorization.

12213332221032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151758 (or 151742 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12213332221032 its reverse (23012223331221), we get a palindrome (35225555552253).

The spelling of 12213332221032 in words is "twelve trillion, two hundred thirteen billion, three hundred thirty-two million, two hundred twenty-one thousand, thirty-two".