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1212405040 = 245721131907
BaseRepresentation
bin100100001000011…
…1101010100110000
310010111100120001101
41020100331110300
54440333430130
6320150014144
742021162400
oct11020752460
93114316041
101212405040
11572409940
1229a047354
13164248942
14b703c800
157168b1ca
hex4843d530

1212405040 has 240 divisors, whose sum is σ = 3696620544. Its totient is φ = 365299200.

The previous prime is 1212405013. The next prime is 1212405079. The reversal of 1212405040 is 405042121.

It is a junction number, because it is equal to n+sod(n) for n = 1212404999 and 1212405017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1336267 + ... + 1337173.

Almost surely, 21212405040 is an apocalyptic number.

1212405040 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 1212405040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848310272).

1212405040 is an abundant number, since it is smaller than the sum of its proper divisors (2484215504).

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

1212405040 is a wasteful number, since it uses less digits than its factorization.

1212405040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 1212405040 is about 34819.6071201270. The cubic root of 1212405040 is about 1066.3077794371.

Adding to 1212405040 its reverse (405042121), we get a palindrome (1617447161).

The spelling of 1212405040 in words is "one billion, two hundred twelve million, four hundred five thousand, forty".