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12021020032 = 27766120297
BaseRepresentation
bin10110011001000001…
…00011010110000000
31011000202200002102011
423030200203112000
5144104340120112
65304500102304
7603614661430
oct131440432600
934022602364
1012021020032
1151096092aa
1223b5994994
131197614308
148207302c0
154a5523aa7
hex2cc823580

12021020032 has 64 divisors (see below), whose sum is σ = 27412043040. Its totient is φ = 5143818240.

The previous prime is 12021019949. The next prime is 12021020129. The reversal of 12021020032 is 23002012021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12021019994 and 12021020021.

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, 582108 + ... + 602404.

Almost surely, 212021020032 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 12021020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13706021520).

12021020032 is an abundant number, since it is smaller than the sum of its proper divisors (15391023008).

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

12021020032 is an equidigital number, since it uses as much as digits as its factorization.

12021020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20979 (or 20967 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12021020032 its reverse (23002012021), we get a palindrome (35023032053).

The spelling of 12021020032 in words is "twelve billion, twenty-one million, twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 661 896 1322 2644 4627 5288 9254 10576 18508 20297 21152 37016 40594 42304 74032 81188 84608 142079 148064 162376 284158 296128 324752 568316 592256 649504 1136632 1299008 2273264 2598016 4546528 9093056 13416317 18186112 26832634 53665268 93914219 107330536 187828438 214661072 375656876 429322144 751313752 858644288 1502627504 1717288576 3005255008 6010510016 12021020032