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20120114443221 = 33131131487341141
BaseRepresentation
bin1001001001100100101000…
…10001100011001111010101
32122020110112100222102202000
410210302110101203033111
510114121443244140341
6110443015235305513
74144426122652662
oct444622421431725
978213470872660
1020120114443221
116457990089031
12230b4b574b299
13b2c41b0ca990
144d7b66874a69
1524d584de58b6
hex124c944633d5

20120114443221 has 64 divisors (see below), whose sum is σ = 32406415856640. Its totient is φ = 12263748295680.

The previous prime is 20120114443213. The next prime is 20120114443553. The reversal of 20120114443221 is 12234441102102.

20120114443221 is a `hidden beast` number, since 2 + 0 + 1 + 201 + 1 + 4 + 4 + 432 + 21 = 666.

It is not a de Polignac number, because 20120114443221 - 23 = 20120114443213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20120114441221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58808311 + ... + 59149451.

It is an arithmetic number, because the mean of its divisors is an integer number (506350247760).

Almost surely, 220120114443221 is an apocalyptic number.

It is an amenable number.

20120114443221 is a deficient number, since it is larger than the sum of its proper divisors (12286301413419).

20120114443221 is a wasteful number, since it uses less digits than its factorization.

20120114443221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342763 (or 342757 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 20120114443221 its reverse (12234441102102), we get a palindrome (32354555545323).

The spelling of 20120114443221 in words is "twenty trillion, one hundred twenty billion, one hundred fourteen million, four hundred forty-three thousand, two hundred twenty-one".

Divisors: 1 3 9 13 27 39 113 117 339 351 1017 1469 1487 3051 4407 4461 13221 13383 19331 39663 40149 57993 168031 173979 341141 504093 521937 1023423 1512279 2184403 3070269 4434833 4536837 6553209 9210807 13304499 19659627 38548933 39913497 58978881 115646799 119740491 346940397 501136129 507276667 1040821191 1503408387 1521830001 4510225161 4565490003 6594596671 13530675483 13696470009 19783790013 57322263371 59351370039 171966790113 178054110117 515900370339 745189423823 1547701111017 2235568271469 6706704814407 20120114443221