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1322252000000 = 2856330563
BaseRepresentation
bin10011001111011100010…
…111000101101100000000
311200101222000102011201022
4103033130113011230000
5133130433003000000
62451233441125012
7164346431362061
oct23173427055400
94611860364638
101322252000000
1146a844868138
12194317629768
13978c320c249
1447dd69a6568
15245dc730585
hex133dc5c5b00

1322252000000 has 126 divisors (see below), whose sum is σ = 3299141442324. Its totient is φ = 528899200000.

The previous prime is 1322251999997. The next prime is 1322252000009. The reversal of 1322252000000 is 2522231.

It is not an unprimeable number, because it can be changed into a prime (1322252000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3834719 + ... + 4165281.

Almost surely, 21322252000000 is an apocalyptic number.

1322252000000 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 1322252000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649570721162).

1322252000000 is an abundant number, since it is smaller than the sum of its proper divisors (1976889442324).

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

1322252000000 is an frugal number, since it uses more digits than its factorization.

1322252000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330609 (or 330570 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 1322252000000 its reverse (2522231), we get a palindrome (1322254522231).

The spelling of 1322252000000 in words is "one trillion, three hundred twenty-two billion, two hundred fifty-two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 50000 62500 80000 100000 125000 160000 200000 250000 330563 400000 500000 661126 800000 1000000 1322252 1652815 2000000 2644504 3305630 4000000 5289008 6611260 8264075 10578016 13222520 16528150 21156032 26445040 33056300 41320375 42312064 52890080 66112600 82640750 84624128 105780160 132225200 165281500 206601875 211560320 264450400 330563000 413203750 423120640 528900800 661126000 826407500 1033009375 1057801600 1322252000 1652815000 2066018750 2115603200 2644504000 3305630000 4132037500 5165046875 5289008000 6611260000 8264075000 10330093750 10578016000 13222520000 16528150000 20660187500 26445040000 33056300000 41320375000 52890080000 66112600000 82640750000 132225200000 165281500000 264450400000 330563000000 661126000000 1322252000000