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1220001221120 = 29511217922003
BaseRepresentation
bin10001110000001101101…
…111010100101000000000
311022122000222112102021212
4101300031233110220000
5124442030303033440
62332243312105252
7154066524164033
oct21601557245000
94278028472255
101220001221120
1143044397a600
1217853bb35228
138b0792cc3a6
1443096a4b01a
1521b05ae8465
hex11c0dbd4a00

1220001221120 has 240 divisors, whose sum is σ = 3233349614880. Its totient is φ = 441138339840.

The previous prime is 1220001221093. The next prime is 1220001221123. The reversal of 1220001221120 is 211221000221.

It is a super-2 number, since 2×12200012211202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1220001221095 and 1220001221104.

It is not an unprimeable number, because it can be changed into a prime (1220001221123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55436039 + ... + 55458041.

It is an arithmetic number, because the mean of its divisors is an integer number (13472290062).

Almost surely, 21220001221120 is an apocalyptic number.

1220001221120 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 1220001221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616674807440).

1220001221120 is an abundant number, since it is smaller than the sum of its proper divisors (2013348393760).

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

1220001221120 is a wasteful number, since it uses less digits than its factorization.

1220001221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22227 (or 22200 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1220001221120 its reverse (211221000221), we get a palindrome (1431222221341).

The spelling of 1220001221120 in words is "one trillion, two hundred twenty billion, one million, two hundred twenty-one thousand, one hundred twenty".