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1212134400 = 21032525261
BaseRepresentation
bin100100000111111…
…1011010000000000
310010110211210210200
41020033323100000
54440301300100
6320140125200
742015654351
oct11017732000
93113753720
101212134400
11572244574
12299b36800
131641826b9
14b6dabd28
1571635e00
hex483fb400

1212134400 has 198 divisors, whose sum is σ = 4340839542. Its totient is φ = 323174400.

The previous prime is 1212134381. The next prime is 1212134401. The reversal of 1212134400 is 44312121.

1212134400 is a `hidden beast` number, since 1 + 212 + 13 + 440 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 165482496 + 1046651904 = 12864^2 + 32352^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212134401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 227770 + ... + 233030.

Almost surely, 21212134400 is an apocalyptic number.

1212134400 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 1212134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170419771).

1212134400 is an abundant number, since it is smaller than the sum of its proper divisors (3128705142).

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

1212134400 is a wasteful number, since it uses less digits than its factorization.

1212134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5297 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1212134400 is about 34815.7205871141. The cubic root of 1212134400 is about 1066.2284310885.

Adding to 1212134400 its reverse (44312121), we get a palindrome (1256446521).

It can be divided in two parts, 121 and 2134400, that added together give a square (2134521 = 14612).

The spelling of 1212134400 in words is "one billion, two hundred twelve million, one hundred thirty-four thousand, four hundred".