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1222401312 = 253211385859
BaseRepresentation
bin100100011011100…
…0101110100100000
310011012011102100200
41020313011310200
510000413320222
6321144145200
742202145136
oct11067056440
93135142320
101222401312
11578017220
122a1468200
131663388b2
14b84c1756
15724b2eac
hex48dc5d20

1222401312 has 72 divisors (see below), whose sum is σ = 3792232080. Its totient is φ = 370423680.

The previous prime is 1222401311. The next prime is 1222401317. The reversal of 1222401312 is 2131042221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (1222401311) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 189762 + ... + 196097.

It is an arithmetic number, because the mean of its divisors is an integer number (52669890).

Almost surely, 21222401312 is an apocalyptic number.

1222401312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1222401312 is an abundant number, since it is smaller than the sum of its proper divisors (2569830768).

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

1222401312 is a wasteful number, since it uses less digits than its factorization.

1222401312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385886 (or 385875 counting only the distinct ones).

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

The square root of 1222401312 is about 34962.8561762337. The cubic root of 1222401312 is about 1069.2303289582.

Adding to 1222401312 its reverse (2131042221), we get a palindrome (3353443533).

The spelling of 1222401312 in words is "one billion, two hundred twenty-two million, four hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 385859 771718 1157577 1543436 2315154 3086872 3472731 4244449 4630308 6173744 6945462 8488898 9260616 12347488 12733347 13890924 16977796 18521232 25466694 27781848 33955592 37042464 38200041 50933388 55563696 67911184 76400082 101866776 111127392 135822368 152800164 203733552 305600328 407467104 611200656 1222401312