Search a number
-
+
1001212212 = 22371113174903
BaseRepresentation
bin111011101011010…
…100100100110100
32120202221211221210
4323223110210310
54022302242322
6243203241420
733545110020
oct7353244464
92522854853
101001212212
11474181610
1223b379270
1312c572b80
1496d85380
155cd7070c
hex3bad4934

1001212212 has 192 divisors, whose sum is σ = 3321851904. Its totient is φ = 225884160.

The previous prime is 1001212181. The next prime is 1001212217. The reversal of 1001212212 is 2122121001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001212217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201753 + ... + 206655.

It is an arithmetic number, because the mean of its divisors is an integer number (17301312).

Almost surely, 21001212212 is an apocalyptic number.

1001212212 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 1001212212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660925952).

1001212212 is an abundant number, since it is smaller than the sum of its proper divisors (2320639692).

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

1001212212 is a wasteful number, since it uses less digits than its factorization.

1001212212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4958 (or 4956 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1001212212 is about 31641.9375512942. The cubic root of 1001212212 is about 1000.4039075034.

Adding to 1001212212 its reverse (2122121001), we get a palindrome (3123333213).

It can be divided in two parts, 1001 and 212212, that multiplied together give a palindrome (212424212).

The spelling of 1001212212 in words is "one billion, one million, two hundred twelve thousand, two hundred twelve".