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1222450400640 = 27357283891759
BaseRepresentation
bin10001110010011111101…
…110001100110110000000
311022212100200002121222110
4101302133232030312000
5130012034300310030
62333330322335320
7154214313650100
oct21623756146600
94285320077873
101222450400640
11431490422407
12178b041ba540
138b379846b41
144324a02d200
1521beab361b0
hex11c9fb8cd80

1222450400640 has 768 divisors, whose sum is σ = 4641525504000. Its totient is φ = 272793894912.

The previous prime is 1222450400597. The next prime is 1222450400711. The reversal of 1222450400640 is 460040542221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1222450400598 and 1222450400607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 694968081 + ... + 694969839.

It is an arithmetic number, because the mean of its divisors is an integer number (6043653000).

Almost surely, 21222450400640 is an apocalyptic number.

1222450400640 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 1222450400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320762752000).

1222450400640 is an abundant number, since it is smaller than the sum of its proper divisors (3419075103360).

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

1222450400640 is a wasteful number, since it uses less digits than its factorization.

1222450400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 1222450400640 its reverse (460040542221), we get a palindrome (1682490942861).

The spelling of 1222450400640 in words is "one trillion, two hundred twenty-two billion, four hundred fifty million, four hundred thousand, six hundred forty".