Search a number
-
+
1212230400 = 28352193323
BaseRepresentation
bin100100001000001…
…0010101100000000
310010111000200111020
41020100102230000
54440312333100
6320142145440
742016534263
oct11020225400
93114020436
101212230400
115722aa707
12299b82280
131641b72c4
14b6dd4cda
15716545a0
hex48412b00

1212230400 has 216 divisors, whose sum is σ = 4212438720. Its totient is φ = 306155520.

The previous prime is 1212230351. The next prime is 1212230401. The reversal of 1212230400 is 40322121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1212230400.

It is not an unprimeable number, because it can be changed into a prime (1212230401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 363139 + ... + 366461.

Almost surely, 21212230400 is an apocalyptic number.

1212230400 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 1212230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106219360).

1212230400 is an abundant number, since it is smaller than the sum of its proper divisors (3000208320).

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

1212230400 is a wasteful number, since it uses less digits than its factorization.

1212230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3371 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1212230400 is about 34817.0992473526. The cubic root of 1212230400 is about 1066.2565784698.

Adding to 1212230400 its reverse (40322121), we get a palindrome (1252552521).

The spelling of 1212230400 in words is "one billion, two hundred twelve million, two hundred thirty thousand, four hundred".