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1042200012 = 2237323101109
BaseRepresentation
bin111110000111101…
…011010111001100
32200122002020122110
4332013223113030
54113300400022
6251225544020
734553361000
oct7607532714
92618066573
101042200012
11495327327
12251045010
13137bc41c9
149c5b4700
156176a00c
hex3e1eb5cc

1042200012 has 192 divisors, whose sum is σ = 3015936000. Its totient is φ = 279417600.

The previous prime is 1042200007. The next prime is 1042200023. The reversal of 1042200012 is 2100022401.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9561414 + ... + 9561522.

It is an arithmetic number, because the mean of its divisors is an integer number (15708000).

Almost surely, 21042200012 is an apocalyptic number.

1042200012 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 1042200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507968000).

1042200012 is an abundant number, since it is smaller than the sum of its proper divisors (1973735988).

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

1042200012 is a wasteful number, since it uses less digits than its factorization.

1042200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1042200012 is about 32283.1227114107. The cubic root of 1042200012 is about 1013.8733118258.

Adding to 1042200012 its reverse (2100022401), we get a palindrome (3142222413).

The spelling of 1042200012 in words is "one billion, forty-two million, two hundred thousand, twelve".