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12021020023201 = 73192234220969
BaseRepresentation
bin1010111011101101110010…
…1000001101100110100001
31120120012100112221220211021
42232323130220031212201
53033423022111220301
641322214054045441
72350330040164000
oct256733450154641
946505315856737
1012021020023201
1139150a4463402
121421907349881
136927674c5537
142d7b6b544c37
1515ca634c58a1
hexaeedca0d9a1

12021020023201 has 48 divisors (see below), whose sum is σ = 15438619872000. Its totient is φ = 9337017590208.

The previous prime is 12021020023193. The next prime is 12021020023211. The reversal of 12021020023201 is 10232002012021.

It is a happy number.

It is not a de Polignac number, because 12021020023201 - 23 = 12021020023193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12021020023211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 737445 + ... + 4958413.

It is an arithmetic number, because the mean of its divisors is an integer number (321637914000).

Almost surely, 212021020023201 is an apocalyptic number.

It is an amenable number.

12021020023201 is a deficient number, since it is larger than the sum of its proper divisors (3417599848799).

12021020023201 is an equidigital number, since it uses as much as digits as its factorization.

12021020023201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4221051 (or 4221018 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12021020023201 its reverse (10232002012021), we get a palindrome (22253022035222).

The spelling of 12021020023201 in words is "twelve trillion, twenty-one billion, twenty million, twenty-three thousand, two hundred one".

Divisors: 1 7 19 23 49 133 161 343 361 437 931 1127 2527 3059 6517 7889 8303 17689 21413 58121 123823 149891 406847 2847929 4220969 29546783 80198411 97082287 206827481 561388877 679576009 1447792367 1523769809 1844563453 3929722139 4757032063 10666388663 12911944171 27508054973 33299224441 35046705607 74664720641 90383609197 245326939249 522653044487 632685264379 1717288574743 12021020023201