Search a number
-
+
12232221111297 = 3211277931441361
BaseRepresentation
bin1011001000000000100100…
…1100011011010000000001
31121022101111112001211120100
42302000021030123100001
53100403042101030142
642003223234233013
72401514561622345
oct262001114332001
947271445054510
1012232221111297
113996723a18900
12145682a125769
136a96552b7695
143040850bd625
151632c4eaab4c
hexb200931b401

12232221111297 has 36 divisors (see below), whose sum is σ = 19423543515012. Its totient is φ = 7412510899200.

The previous prime is 12232221111289. The next prime is 12232221111361. The reversal of 12232221111297 is 79211112223221.

12232221111297 is a `hidden beast` number, since 1 + 2 + 2 + 32 + 221 + 111 + 297 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9506671057521 + 2725550053776 = 3083289^2 + 1650924^2 .

It is not a de Polignac number, because 12232221111297 - 23 = 12232221111289 is a prime.

It is a super-3 number, since 3×122322211112973 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (12232221111997) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7765897 + ... + 9207257.

It is an arithmetic number, because the mean of its divisors is an integer number (539542875417).

Almost surely, 212232221111297 is an apocalyptic number.

It is an amenable number.

12232221111297 is a deficient number, since it is larger than the sum of its proper divisors (7191322403715).

12232221111297 is a wasteful number, since it uses less digits than its factorization.

12232221111297 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449182 (or 1449168 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The spelling of 12232221111297 in words is "twelve trillion, two hundred thirty-two billion, two hundred twenty-one million, one hundred eleven thousand, two hundred ninety-seven".

Divisors: 1 3 9 11 33 99 121 363 1089 7793 23379 70137 85723 257169 771507 942953 1441361 2828859 4324083 8486577 12972249 15854971 47564913 142694739 174404681 523214043 1569642129 11232526273 33697578819 101092736457 123557789003 370673367009 1112020101027 1359135679033 4077407037099 12232221111297