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120010112220 = 22355373516973
BaseRepresentation
bin110111111000100101…
…0001111110011011100
3102110202201012100212010
41233301022033303130
53431240042042340
6131044253111220
711445651060045
oct1576112176334
9373681170763
10120010112220
1146994641629
121b313188510
13b41731802b
145b468198cc
1531c5d01b80
hex1bf128fcdc

120010112220 has 96 divisors (see below), whose sum is σ = 347059121472. Its totient is φ = 30968690688.

The previous prime is 120010112197. The next prime is 120010112251. The reversal of 120010112220 is 22211010021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120010112196 and 120010112205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26347 + ... + 490626.

It is an arithmetic number, because the mean of its divisors is an integer number (3615199182).

Almost surely, 2120010112220 is an apocalyptic number.

120010112220 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 120010112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173529560736).

120010112220 is an abundant number, since it is smaller than the sum of its proper divisors (227049009252).

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

120010112220 is a wasteful number, since it uses less digits than its factorization.

120010112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517111 (or 517109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120010112220 its reverse (22211010021), we get a palindrome (142221122241).

The spelling of 120010112220 in words is "one hundred twenty billion, ten million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 73 106 146 159 212 219 265 292 318 365 438 530 636 730 795 876 1060 1095 1460 1590 2190 3180 3869 4380 7738 11607 15476 19345 23214 38690 46428 58035 77380 116070 232140 516973 1033946 1550919 2067892 2584865 3101838 5169730 6203676 7754595 10339460 15509190 27399569 31018380 37739029 54799138 75478058 82198707 109598276 113217087 136997845 150956116 164397414 188695145 226434174 273995690 328794828 377390290 410993535 452868348 547991380 566085435 754780580 821987070 1132170870 1643974140 2000168537 2264341740 4000337074 6000505611 8000674148 10000842685 12001011222 20001685370 24002022444 30002528055 40003370740 60005056110 120010112220