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1222012000 = 25531127773
BaseRepresentation
bin100100011010110…
…0110110001100000
310011011102122022201
41020311212301200
510000313341000
6321131542544
742165634126
oct11065466140
93134378281
101222012000
11577880780
122a12baa54
13166230631
14b841d916
157243796a
hex48d66c60

1222012000 has 96 divisors (see below), whose sum is σ = 3275554464. Its totient is φ = 444352000.

The previous prime is 1222011977. The next prime is 1222012021. The reversal of 1222012000 is 2102221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 30114 + ... + 57886.

It is an arithmetic number, because the mean of its divisors is an integer number (34120359).

Almost surely, 21222012000 is an apocalyptic number.

1222012000 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 1222012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637777232).

1222012000 is an abundant number, since it is smaller than the sum of its proper divisors (2053542464).

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

1222012000 is a wasteful number, since it uses less digits than its factorization.

1222012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27809 (or 27791 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1222012000 is about 34957.2882243460. The cubic root of 1222012000 is about 1069.1168069388.

Adding to 1222012000 its reverse (2102221), we get a palindrome (1224114221).

The spelling of 1222012000 in words is "one billion, two hundred twenty-two million, twelve thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 27773 44000 55546 111092 138865 222184 277730 305503 444368 555460 611006 694325 888736 1110920 1222012 1388650 1527515 2221840 2444024 2777300 3055030 3471625 4443680 4888048 5554600 6110060 6943250 7637575 9776096 11109200 12220120 13886500 15275150 22218400 24440240 27773000 30550300 38187875 48880480 55546000 61100600 76375750 111092000 122201200 152751500 244402400 305503000 611006000 1222012000