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1255212000 = 253253717293
BaseRepresentation
bin100101011010001…
…0000001111100000
310020110220101011100
41022310100033200
510032313241000
6324315314400
743051061130
oct11264201740
93213811140
101255212000
11594597399
122b044ba00
13170085cc3
14bc9c2ac0
15752e4a00
hex4ad103e0

1255212000 has 576 divisors, whose sum is σ = 5409016704. Its totient is φ = 269107200.

The previous prime is 1255211999. The next prime is 1255212059. The reversal of 1255212000 is 2125521.

1255212000 is a `hidden beast` number, since 125 + 521 + 20 + 0 + 0 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4283854 + ... + 4284146.

It is an arithmetic number, because the mean of its divisors is an integer number (9390654).

Almost surely, 21255212000 is an apocalyptic number.

1255212000 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 1255212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704508352).

1255212000 is an abundant number, since it is smaller than the sum of its proper divisors (4153804704).

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

1255212000 is a wasteful number, since it uses less digits than its factorization.

1255212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1255212000 is about 35428.9711959012. The cubic root of 1255212000 is about 1078.7124574111.

Adding to 1255212000 its reverse (2125521), we get a palindrome (1257337521).

It can be divided in two parts, 125 and 5212000, that added together give a palindrome (5212125).

The spelling of 1255212000 in words is "one billion, two hundred fifty-five million, two hundred twelve thousand".