Search a number
-
+
121212010000000 = 275768317747
BaseRepresentation
bin11011100011110111011110…
…110011000110111010000000
3120220011202101101102100200201
4123203313132303012322000
5111341414144030000000
61105444010105254544
734350164414203363
oct3343673663067200
9526152341370621
10121212010000000
11356927a7722037
1211717848a94454
135283321c6aa4a
1421d099a65a0da
15e030088d996a
hex6e3ddecc6e80

121212010000000 has 256 divisors, whose sum is σ = 302304515160960. Its totient is φ = 48411088000000.

The previous prime is 121212009999989. The next prime is 121212010000001. The reversal of 121212010000000 is 10212121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (121212010000001) 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, 6829991127 + ... + 6830008873.

Almost surely, 2121212010000000 is an apocalyptic number.

121212010000000 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 121212010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151152257580480).

121212010000000 is an abundant number, since it is smaller than the sum of its proper divisors (181092505160960).

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

121212010000000 is an frugal number, since it uses more digits than its factorization.

121212010000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18479 (or 18437 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 121212010000000 its reverse (10212121), we get a palindrome (121212020212121).

The spelling of 121212010000000 in words is "one hundred twenty-one trillion, two hundred twelve billion, ten million", and thus it is an aban number.