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1221252000 = 25353101771
BaseRepresentation
bin100100011001010…
…1101001110100000
310011010000000210120
41020302231032200
510000120031000
6321103400240
742156320313
oct11062551640
93133000716
101221252000
11577401781
122a0bb3080
13166025727
14b82a297a
15723376a0
hex48cad3a0

1221252000 has 96 divisors (see below), whose sum is σ = 4000860864. Its totient is φ = 325664000.

The previous prime is 1221251981. The next prime is 1221252013. The reversal of 1221252000 is 2521221.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38886 + ... + 62885.

It is an arithmetic number, because the mean of its divisors is an integer number (41675634).

Almost surely, 21221252000 is an apocalyptic number.

1221252000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221252000 is an abundant number, since it is smaller than the sum of its proper divisors (2779608864).

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

1221252000 is a wasteful number, since it uses less digits than its factorization.

1221252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101799 (or 101781 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1221252000 is about 34946.4161252624. The cubic root of 1221252000 is about 1068.8951240978.

Adding to 1221252000 its reverse (2521221), we get a palindrome (1223773221).

The spelling of 1221252000 in words is "one billion, two hundred twenty-one million, two hundred fifty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 101771 203542 305313 407084 508855 610626 814168 1017710 1221252 1526565 1628336 2035420 2442504 2544275 3053130 3256672 4070840 4885008 5088550 6106260 7632825 8141680 9770016 10177100 12212520 12721375 15265650 16283360 20354200 24425040 25442750 30531300 38164125 40708400 48850080 50885500 61062600 76328250 81416800 101771000 122125200 152656500 203542000 244250400 305313000 407084000 610626000 1221252000