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1212114240 = 26335532647
BaseRepresentation
bin100100000111111…
…0110010101000000
310010110210210011000
41020033312111000
54440300123430
6320135452000
742015541521
oct11017662500
93113723130
101212114240
11572230407
12299b27000
1316417647c
14b6da4848
157162ee60
hex483f6540

1212114240 has 224 divisors, whose sum is σ = 4358396160. Its totient is φ = 317011968.

The previous prime is 1212114227. The next prime is 1212114271. The reversal of 1212114240 is 424112121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456597 + ... + 459243.

Almost surely, 21212114240 is an apocalyptic number.

1212114240 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 1212114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179198080).

1212114240 is an abundant number, since it is smaller than the sum of its proper divisors (3146281920).

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

1212114240 is a wasteful number, since it uses less digits than its factorization.

1212114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1212114240 is about 34815.4310615279. The cubic root of 1212114240 is about 1066.2225199496. Note that the first 3 decimals are identical.

Adding to 1212114240 its reverse (424112121), we get a palindrome (1636226361).

The spelling of 1212114240 in words is "one billion, two hundred twelve million, one hundred fourteen thousand, two hundred forty".