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122201111120 = 24511138864899
BaseRepresentation
bin111000111001111000…
…0001111101001010000
3102200102101221122022112
41301303300033221100
54000231441023440
6132045521524452
711554154206664
oct1616360175120
9380371848275
10122201111120
1147909383520
121b824aa3728
13b6a621769a
145cb37d28a4
1532a3341965
hex1c73c0fa50

122201111120 has 40 divisors (see below), whose sum is σ = 309946456800. Its totient is φ = 44436767360.

The previous prime is 122201111077. The next prime is 122201111141. The reversal of 122201111120 is 21111102221.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1222011111202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122201111095 and 122201111104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69431570 + ... + 69433329.

It is an arithmetic number, because the mean of its divisors is an integer number (7748661420).

Almost surely, 2122201111120 is an apocalyptic number.

122201111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201111120 is an abundant number, since it is smaller than the sum of its proper divisors (187745345680).

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

122201111120 is a wasteful number, since it uses less digits than its factorization.

122201111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138864923 (or 138864917 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122201111120 its reverse (21111102221), we get a palindrome (143312213341).

The spelling of 122201111120 in words is "one hundred twenty-two billion, two hundred one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 138864899 277729798 555459596 694324495 1110919192 1388648990 1527513889 2221838384 2777297980 3055027778 5554595960 6110055556 7637569445 11109191920 12220111112 15275138890 24440222224 30550277780 61100555560 122201111120