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1200401412 = 2237218111279
BaseRepresentation
bin100011110001100…
…1010110000000100
310002122202201011120
41013203022300010
54424300321122
6315040433540
741514146400
oct10743126004
93078681146
101200401412
11566660391
122960188b0
131619050c2
14b55d6100
15705b975c
hex478cac04

1200401412 has 72 divisors (see below), whose sum is σ = 3276524160. Its totient is φ = 341046720.

The previous prime is 1200401407. The next prime is 1200401431. The reversal of 1200401412 is 2141040021.

It is a junction number, because it is equal to n+sod(n) for n = 1200401391 and 1200401400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100789 + ... + 112067.

It is an arithmetic number, because the mean of its divisors is an integer number (45507280).

Almost surely, 21200401412 is an apocalyptic number.

1200401412 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 1200401412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638262080).

1200401412 is an abundant number, since it is smaller than the sum of its proper divisors (2076122748).

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

1200401412 is a wasteful number, since it uses less digits than its factorization.

1200401412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11481 (or 11472 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1200401412 is about 34646.8095500870. The cubic root of 1200401412 is about 1062.7770459457. Note that the first 3 decimals are identical.

Adding to 1200401412 its reverse (2141040021), we get a palindrome (3341441433).

The spelling of 1200401412 in words is "one billion, two hundred million, four hundred one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 181 196 294 362 543 588 724 1086 1267 2172 2534 3801 5068 7602 8869 11279 15204 17738 22558 26607 33837 35476 45116 53214 67674 78953 106428 135348 157906 236859 315812 473718 552671 947436 1105342 1658013 2041499 2210684 3316026 4082998 6124497 6632052 8165996 12248994 14290493 24497988 28580986 42871479 57161972 85742958 100033451 171485916 200066902 300100353 400133804 600200706 1200401412