Search a number
-
+
121212112212100 = 2252713223431138587
BaseRepresentation
bin11011100011110111100100…
…111001000001000010000100
3120220011202122111202021100001
4123203313210321001002010
5111341414401211241400
61105444024200131044
734350200065041010
oct3343674471010204
9526152574667301
10121212112212100
113569284a394548
1211717877166a84
13528333a1a7390
1421d09aa065540
15e03012879a6a
hex6e3de4e41084

121212112212100 has 288 divisors, whose sum is σ = 325938114625536. Its totient is φ = 38100728332800.

The previous prime is 121212112212089. The next prime is 121212112212109. The reversal of 121212112212100 is 1212211212121.

It is a happy number.

121212112212100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1212121122121002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121212112212109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 874559007 + ... + 874697593.

It is an arithmetic number, because the mean of its divisors is an integer number (1131729564672).

Almost surely, 2121212112212100 is an apocalyptic number.

121212112212100 is a gapful number since it is divisible by the number (10) 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 121212112212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162969057312768).

121212112212100 is an abundant number, since it is smaller than the sum of its proper divisors (204726002413436).

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

121212112212100 is a wasteful number, since it uses less digits than its factorization.

121212112212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139275 (or 139268 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 121212112212100 its reverse (1212211212121), we get a palindrome (122424323424221).

The spelling of 121212112212100 in words is "one hundred twenty-one trillion, two hundred twelve billion, one hundred twelve million, two hundred twelve thousand, one hundred".