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12120202202101 = 7229531011593377
BaseRepresentation
bin1011000001011111010001…
…0110001100101111110101
31120220200100201201122102121
42300113310112030233311
53042034133230431401
641435535524235541
72360440623613300
oct260276426145765
946820321648377
1012120202202101
1139531701963a4
121438b8723bbb1
1369bc12752666
142dc899b1bb37
1516041aa17ca1
hexb05f458cbf5

12120202202101 has 48 divisors (see below), whose sum is σ = 15007517501040. Its totient is φ = 9743812915200.

The previous prime is 12120202202089. The next prime is 12120202202111. The reversal of 12120202202101 is 10120220202121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 19196379601 + 12101005822500 = 138551^2 + 3478650^2 .

It is not a de Polignac number, because 12120202202101 - 213 = 12120202193909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120202202111) 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, 6809925 + ... + 8403301.

It is an arithmetic number, because the mean of its divisors is an integer number (312656614605).

Almost surely, 212120202202101 is an apocalyptic number.

It is an amenable number.

12120202202101 is a deficient number, since it is larger than the sum of its proper divisors (2887315298939).

12120202202101 is a wasteful number, since it uses less digits than its factorization.

12120202202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593574 (or 1593567 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12120202202101 its reverse (10120220202121), we get a palindrome (22240422404222).

The spelling of 12120202202101 in words is "twelve trillion, one hundred twenty billion, two hundred two million, two hundred two thousand, one hundred one".

Divisors: 1 7 29 49 53 101 203 371 707 1421 1537 2597 2929 4949 5353 10759 20503 37471 75313 143521 155237 262297 1086659 1593377 7606613 11153639 46207933 78075473 84448981 160931077 323455531 591142867 1126517539 2264188717 2449020449 4138000069 4667001233 7885622773 8529347081 17143143143 32669008631 59705429567 120002002001 228683060417 247351065349 417938006969 1731457457443 12120202202101