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12202103120 = 245438574139
BaseRepresentation
bin10110101110100110…
…10101000101010000
31011111101102001201012
423113103111011100
5144442214244440
65334445230052
7611244110444
oct132723250520
934441361635
1012202103120
1151a1850749
122446562328
1311c5ca717c
1483a7ca824
154b6392e65
hex2d74d5150

12202103120 has 80 divisors (see below), whose sum is σ = 29070550080. Its totient is φ = 4760620032.

The previous prime is 12202103119. The next prime is 12202103159. The reversal of 12202103120 is 2130120221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×122021031202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12202103095 and 12202103104.

It is a congruent number.

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, 2946011 + ... + 2950149.

It is an arithmetic number, because the mean of its divisors is an integer number (363381876).

Almost surely, 212202103120 is an apocalyptic number.

12202103120 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 12202103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14535275040).

12202103120 is an abundant number, since it is smaller than the sum of its proper divisors (16868446960).

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

12202103120 is a wasteful number, since it uses less digits than its factorization.

12202103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5052 (or 5046 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12202103120 its reverse (2130120221), we get a palindrome (14332223341).

The spelling of 12202103120 in words is "twelve billion, two hundred two million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 857 860 1714 1720 3428 3440 4139 4285 6856 8278 8570 13712 16556 17140 20695 33112 34280 36851 41390 66224 68560 73702 82780 147404 165560 177977 184255 294808 331120 355954 368510 589616 711908 737020 889885 1423816 1474040 1779770 2847632 2948080 3547123 3559540 7094246 7119080 14188492 14238160 17735615 28376984 35471230 56753968 70942460 141884920 152526289 283769840 305052578 610105156 762631445 1220210312 1525262890 2440420624 3050525780 6101051560 12202103120