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1220100120 = 233253838849
BaseRepresentation
bin100100010111001…
…0100000000011000
310011000211111201100
41020232110000120
54444321200440
6321022551400
742143452131
oct11056240030
93130744640
101220100120
11576795308
122a0738560
13165a11345
14b8082c88
15721ab230
hex48b94018

1220100120 has 96 divisors (see below), whose sum is σ = 3976128000. Its totient is φ = 324473856.

The previous prime is 1220100107. The next prime is 1220100131. The reversal of 1220100120 is 210010221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133456 + ... + 142304.

It is an arithmetic number, because the mean of its divisors is an integer number (41418000).

Almost surely, 21220100120 is an apocalyptic number.

1220100120 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 1220100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988064000).

1220100120 is an abundant number, since it is smaller than the sum of its proper divisors (2756027880).

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

1220100120 is a wasteful number, since it uses less digits than its factorization.

1220100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9249 (or 9242 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1220100120 is about 34929.9315773736. The cubic root of 1220100120 is about 1068.5589591845.

Adding to 1220100120 its reverse (210010221), we get a palindrome (1430110341).

The spelling of 1220100120 in words is "one billion, two hundred twenty million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 383 766 1149 1532 1915 2298 3064 3447 3830 4596 5745 6894 7660 8849 9192 11490 13788 15320 17235 17698 22980 26547 27576 34470 35396 44245 45960 53094 68940 70792 79641 88490 106188 132735 137880 159282 176980 212376 265470 318564 353960 398205 530940 637128 796410 1061880 1592820 3185640 3389167 6778334 10167501 13556668 16945835 20335002 27113336 30502503 33891670 40670004 50837505 61005006 67783340 81340008 101675010 122010012 135566680 152512515 203350020 244020024 305025030 406700040 610050060 1220100120