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1102001222120 = 23531971915253
BaseRepresentation
bin10000000010010100011…
…001000011000111101000
310220100110100201101101112
4100002110121003013220
5121023344303101440
62202130302405452
7142421421556241
oct20022431030750
93810410641345
101102001222120
113953a0a62877
121596a9b90888
137cbc258c986
143b4a119dcc8
151d9eb505965
hex100946431e8

1102001222120 has 64 divisors (see below), whose sum is σ = 2562125437440. Its totient is φ = 426141331200.

The previous prime is 1102001222059. The next prime is 1102001222131. The reversal of 1102001222120 is 212221002011.

It is a junction number, because it is equal to n+sod(n) for n = 1102001222095 and 1102001222104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 746414 + ... + 1661666.

It is an arithmetic number, because the mean of its divisors is an integer number (40033209960).

Almost surely, 21102001222120 is an apocalyptic number.

1102001222120 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 1102001222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281062718720).

1102001222120 is an abundant number, since it is smaller than the sum of its proper divisors (1460124215320).

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

1102001222120 is a wasteful number, since it uses less digits than its factorization.

1102001222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916266 (or 916262 counting only the distinct ones).

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

Adding to 1102001222120 its reverse (212221002011), we get a palindrome (1314222224131).

The spelling of 1102001222120 in words is "one trillion, one hundred two billion, one million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 971 1240 1942 3884 4855 7768 9710 19420 30101 38840 60202 120404 150505 240808 301010 602020 915253 1204040 1830506 3661012 4576265 7322024 9152530 18305060 28372843 36610120 56745686 113491372 141864215 226982744 283728430 567456860 888710663 1134913720 1777421326 3554842652 4443553315 7109685304 8887106630 17774213260 27550030553 35548426520 55100061106 110200122212 137750152765 220400244424 275500305530 551000611060 1102001222120