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121212024252 = 2231110118150231
BaseRepresentation
bin111000011100011001…
…1001011010110111100
3102120212110210211012120
41300320303023112330
53441220234234002
6131403430202540
711520514130544
oct1607063132674
9376773724176
10121212024252
1147451033960
121b5a97b3450
13b57932b897
145c1c2c6324
1532465b8cbc
hex1c38ccb5bc

121212024252 has 96 divisors (see below), whose sum is σ = 313322300928. Its totient is φ = 36165600000.

The previous prime is 121212024229. The next prime is 121212024257. The reversal of 121212024252 is 252420212121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121212024257) 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, 2387977 + ... + 2438207.

It is an arithmetic number, because the mean of its divisors is an integer number (3263773968).

Almost surely, 2121212024252 is an apocalyptic number.

121212024252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121212024252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156661150464).

121212024252 is an abundant number, since it is smaller than the sum of its proper divisors (192110276676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121212024252 is a wasteful number, since it uses less digits than its factorization.

121212024252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50531 (or 50529 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 121212024252 its reverse (252420212121), we get a palindrome (373632236373).

The spelling of 121212024252 in words is "one hundred twenty-one billion, two hundred twelve million, twenty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 181 202 303 362 404 543 606 724 1086 1111 1212 1991 2172 2222 3333 3982 4444 5973 6666 7964 11946 13332 18281 23892 36562 50231 54843 73124 100462 109686 150693 200924 201091 219372 301386 402182 552541 602772 603273 804364 1105082 1206546 1657623 2210164 2413092 3315246 5073331 6630492 9091811 10146662 15219993 18183622 20293324 27275433 30439986 36367244 54550866 55806641 60879972 100009921 109101732 111613282 167419923 200019842 223226564 300029763 334839846 400039684 600059526 669679692 918272911 1200119052 1836545822 2754818733 3673091644 5509637466 10101002021 11019274932 20202004042 30303006063 40404008084 60606012126 121212024252