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221221121012201 = 19149233695948193
BaseRepresentation
bin110010010011001100001110…
…010101011011000111101001
31002000021112101021201021002202
4302103030032111123013221
5212443441323434342301
62102255325140505545
764411461414565502
oct6223141625330751
91060245337637082
10221221121012201
1164540394652562
122098a1759ab2b5
1396590a6861c6b
143c8b2334ddba9
151a89707eb366b
hexc9330e55b1e9

221221121012201 has 32 divisors (see below), whose sum is σ = 235472028480000. Its totient is φ = 207243815804928.

The previous prime is 221221121012183. The next prime is 221221121012251. The reversal of 221221121012201 is 102210121122122.

221221121012201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221221121012201 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (221221121012251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4590292361 + ... + 4590340553.

It is an arithmetic number, because the mean of its divisors is an integer number (7358500890000).

Almost surely, 2221221121012201 is an apocalyptic number.

It is an amenable number.

221221121012201 is a deficient number, since it is larger than the sum of its proper divisors (14250907467799).

221221121012201 is a wasteful number, since it uses less digits than its factorization.

221221121012201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55553.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 221221121012201 its reverse (102210121122122), we get a palindrome (323431242134323).

The spelling of 221221121012201 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, one hundred twenty-one million, twelve thousand, two hundred one".

Divisors: 1 19 149 233 2831 4427 6959 34717 48193 132221 659623 915667 1036891 1621447 7180757 11228969 19700929 30807493 136434383 213350411 241595603 335375087 1673116381 4590316457 6372126653 31789211239 49970887963 78142395271 949446871297 1484705510149 11643216895379 221221121012201