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1222002021100 = 2252710191713167
BaseRepresentation
bin10001110010000100111…
…111110001001011101100
311022211012102101120212211
4101302010333301023230
5130010130004133400
62333214024140204
7154200230540110
oct21620477611354
94284172346784
101222002021100
11431280313203
121789ba007664
138b3079968c3
1443206673740
1521bc15b7dba
hex11c84ff12ec

1222002021100 has 72 divisors (see below), whose sum is σ = 3033540840960. Its totient is φ = 418560717120.

The previous prime is 1222002021089. The next prime is 1222002021101. The reversal of 1222002021100 is 11202002221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1222002021101) 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, 143284 + ... + 1569883.

It is an arithmetic number, because the mean of its divisors is an integer number (42132511680).

Almost surely, 21222002021100 is an apocalyptic number.

1222002021100 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 1222002021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516770420480).

1222002021100 is an abundant number, since it is smaller than the sum of its proper divisors (1811538819860).

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

1222002021100 is a wasteful number, since it uses less digits than its factorization.

1222002021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714207 (or 1714200 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1222002021100 its reverse (11202002221), we get a palindrome (1233204023321).

The spelling of 1222002021100 in words is "one trillion, two hundred twenty-two billion, two million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1019 2038 4076 5095 7133 10190 14266 20380 25475 28532 35665 50950 71330 101900 142660 178325 356650 713300 1713167 3426334 6852668 8565835 11992169 17131670 23984338 34263340 42829175 47968676 59960845 85658350 119921690 171316700 239843380 299804225 599608450 1199216900 1745717173 3491434346 6982868692 8728585865 12220020211 17457171730 24440040422 34914343460 43642929325 48880080844 61100101055 87285858650 122200202110 174571717300 244400404220 305500505275 611001010550 1222002021100