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12001001121221 = 7219167251307523
BaseRepresentation
bin1010111010100011001101…
…1010001010010111000101
31120111021200101212022221012
42232220303122022113011
53033111022241334341
641305103411332005
72346020665263200
oct256506332122705
946437611768835
1012001001121221
1139076612a4012
121419a5abb1005
136908c6c301c8
142d6bcc93c937
1515c290c740eb
hexaea3368a5c5

12001001121221 has 48 divisors (see below), whose sum is σ = 14842043112960. Its totient is φ = 9648195228000.

The previous prime is 12001001121139. The next prime is 12001001121229. The reversal of 12001001121221 is 12212110010021.

12001001121221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12001001121221 - 210 = 12001001120197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12001001121196 and 12001001121205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001001121229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38870966 + ... + 39178488.

It is an arithmetic number, because the mean of its divisors is an integer number (309209231520).

Almost surely, 212001001121221 is an apocalyptic number.

It is an amenable number.

12001001121221 is a deficient number, since it is larger than the sum of its proper divisors (2841041991739).

12001001121221 is a wasteful number, since it uses less digits than its factorization.

12001001121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307974 (or 307967 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12001001121221 its reverse (12212110010021), we get a palindrome (24213111131242).

The spelling of 12001001121221 in words is "twelve trillion, one billion, one million, one hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 7 19 49 133 167 251 931 1169 1757 3173 4769 8183 12299 22211 33383 41917 155477 233681 293419 307523 796423 2053933 2152661 5574961 5842937 15068627 39024727 40900559 51356341 77188273 286303913 359494387 540317911 975770479 1466577187 2516460709 3782225377 6830393353 10266040309 12890441591 47812753471 71862282163 90233091137 244918390229 631631637959 1714428731603 12001001121221