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1210202112 = 21137191481
BaseRepresentation
bin100100000100010…
…0011100000000000
310010100012122012110
41020020203200000
54434302431422
6320030455320
741663356020
oct11010434000
93110178173
101210202112
11571144839
12299364540
13163957032
14b6a27a80
15713a360c
hex48223800

1210202112 has 192 divisors, whose sum is σ = 3884025600. Its totient is φ = 327352320.

The previous prime is 1210202101. The next prime is 1210202129. The reversal of 1210202112 is 2112020121.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 816412 + ... + 817892.

It is an arithmetic number, because the mean of its divisors is an integer number (20229300).

Almost surely, 21210202112 is an apocalyptic number.

1210202112 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 1210202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942012800).

1210202112 is an abundant number, since it is smaller than the sum of its proper divisors (2673823488).

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

1210202112 is a wasteful number, since it uses less digits than its factorization.

1210202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1512 counting only the distinct ones).

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

The square root of 1210202112 is about 34787.9592962853. The cubic root of 1210202112 is about 1065.6615643173.

Adding to 1210202112 its reverse (2112020121), we get a palindrome (3322222233).

The spelling of 1210202112 in words is "one billion, two hundred ten million, two hundred two thousand, one hundred twelve".