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1220021222112 = 253273118631301
BaseRepresentation
bin10001110000001110111…
…011100111101011100000
311022122002101011120111100
4101300032323213223200
5124442100413101422
62332245304514400
7154100156166000
oct21601673475340
94278071146440
101220021222112
114304541a0650
1217854677ba00
138b0804b30b4
1443099576000
1521b077497ac
hex11c0eee7ae0

1220021222112 has 576 divisors, whose sum is σ = 4422316953600. Its totient is φ = 316278144000.

The previous prime is 1220021222099. The next prime is 1220021222153. The reversal of 1220021222112 is 2112221200221.

It is a happy number.

1220021222112 is a `hidden beast` number, since 1 + 220 + 0 + 212 + 221 + 12 = 666.

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

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, 937755862 + ... + 937757162.

It is an arithmetic number, because the mean of its divisors is an integer number (7677633600).

Almost surely, 21220021222112 is an apocalyptic number.

1220021222112 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 1220021222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211158476800).

1220021222112 is an abundant number, since it is smaller than the sum of its proper divisors (3202295731488).

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

1220021222112 is a wasteful number, since it uses less digits than its factorization.

1220021222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1220021222112 its reverse (2112221200221), we get a palindrome (3332242422333).

The spelling of 1220021222112 in words is "one trillion, two hundred twenty billion, twenty-one million, two hundred twenty-two thousand, one hundred twelve".