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1222312000032 = 253319415917903
BaseRepresentation
bin10001110010010111011…
…110001111101000100000
311022212000000200011001000
4101302113132033220200
5130011243333000112
62333304500112000
7154211013400554
oct21622736175040
94285000604030
101222312000032
1143141a292a42
12178a85995600
138b356c797a6
14432358c3864
1521bdd8e87dc
hex11c9778fa20

1222312000032 has 192 divisors, whose sum is σ = 3753824256000. Its totient is φ = 385878898944.

The previous prime is 1222312000031. The next prime is 1222312000061. The reversal of 1222312000032 is 2300002132221.

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

It is a junction number, because it is equal to n+sod(n) for n = 1222311999969 and 1222312000014.

It is not an unprimeable number, because it can be changed into a prime (1222312000031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68265193 + ... + 68283095.

It is an arithmetic number, because the mean of its divisors is an integer number (19551168000).

Almost surely, 21222312000032 is an apocalyptic number.

1222312000032 is a gapful number since it is divisible by the number (12) 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 1222312000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876912128000).

1222312000032 is an abundant number, since it is smaller than the sum of its proper divisors (2531512255968).

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

1222312000032 is a wasteful number, since it uses less digits than its factorization.

1222312000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22100 (or 22086 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1222312000032 its reverse (2300002132221), we get a palindrome (3522314132253).

The spelling of 1222312000032 in words is "one trillion, two hundred twenty-two billion, three hundred twelve million, thirty-two", and thus it is an aban number.