Search a number
-
+
1000120212 = 2232713372223
BaseRepresentation
bin111011100111001…
…001111110010100
32120200220101000100
4323213021332110
54022012321322
6243124014100
733532611240
oct7347117624
92520811010
101000120212
114735a6133
1223ab31330
1312c27cb10
1496b7d420
155cc06dac
hex3b9c9f94

1000120212 has 216 divisors, whose sum is σ = 3212192256. Its totient is φ = 255488256.

The previous prime is 1000120181. The next prime is 1000120243. The reversal of 1000120212 is 2120210001.

It is an interprime number because it is at equal distance from previous prime (1000120181) and next prime (1000120243).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000120194 and 1000120203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4484733 + ... + 4484955.

Almost surely, 21000120212 is an apocalyptic number.

1000120212 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 1000120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606096128).

1000120212 is an abundant number, since it is smaller than the sum of its proper divisors (2212072044).

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

1000120212 is a wasteful number, since it uses less digits than its factorization.

1000120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1000120212 is about 31624.6772631754. The cubic root of 1000120212 is about 1000.0400690611.

Adding to 1000120212 its reverse (2120210001), we get a palindrome (3120330213).

The spelling of 1000120212 in words is "one billion, one hundred twenty thousand, two hundred twelve".