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120222012100 = 225215754713999
BaseRepresentation
bin110111111110111001…
…0100101001011000100
3102111022110220222211211
41233331302211023010
53432203313341400
6131121302541204
711454133146001
oct1577562451304
9374273828754
10120222012100
1146a932120a3
121b372137804
13b44c1aa888
145b66a188a8
1531d970bdba
hex1bfdca52c4

120222012100 has 72 divisors (see below), whose sum is σ = 263042192000. Its totient is φ = 47691745920.

The previous prime is 120222012083. The next prime is 120222012179. The reversal of 120222012100 is 1210222021.

It is a happy 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, 8580901 + ... + 8594899.

Almost surely, 2120222012100 is an apocalyptic number.

120222012100 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 120222012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131521096000).

120222012100 is an abundant number, since it is smaller than the sum of its proper divisors (142820179900).

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

120222012100 is a wasteful number, since it uses less digits than its factorization.

120222012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14717 (or 14710 counting only the distinct ones).

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

Adding to 120222012100 its reverse (1210222021), we get a palindrome (121432234121).

The spelling of 120222012100 in words is "one hundred twenty billion, two hundred twenty-two million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 547 628 785 1094 1570 2188 2735 3140 3925 5470 7850 10940 13675 13999 15700 27350 27998 54700 55996 69995 85879 139990 171758 279980 343516 349975 429395 699950 858790 1399900 1717580 2146975 2197843 4293950 4395686 7657453 8587900 8791372 10989215 15314906 21978430 30629812 38287265 43956860 54946075 76574530 109892150 153149060 191436325 219784300 382872650 765745300 1202220121 2404440242 4808880484 6011100605 12022201210 24044402420 30055503025 60111006050 120222012100