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120204346668 = 22372509401629
BaseRepresentation
bin110111111110010111…
…1001100010100101100
3102111021020200111102120
41233330233030110230
53432134303043133
6131115432152540
711453530042200
oct1577457142454
9374236614376
10120204346668
1146a8424686a
121b368238750
13b448633c63
145b6453ab00
1531d7dbcab3
hex1bfcbcc52c

120204346668 has 72 divisors (see below), whose sum is σ = 326910754800. Its totient is φ = 34276540032.

The previous prime is 120204346667. The next prime is 120204346679. The reversal of 120204346668 is 866643402021.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (120204346667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98478 + ... + 500106.

It is an arithmetic number, because the mean of its divisors is an integer number (4540427150).

Almost surely, 2120204346668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120204346668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163455377400).

120204346668 is an abundant number, since it is smaller than the sum of its proper divisors (206706408132).

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

120204346668 is a wasteful number, since it uses less digits than its factorization.

120204346668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402159 (or 402150 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

Adding to 120204346668 its reverse (866643402021), we get a palindrome (986847748689).

The spelling of 120204346668 in words is "one hundred twenty billion, two hundred four million, three hundred forty-six thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 509 588 1018 1527 2036 3054 3563 6108 7126 10689 14252 21378 24941 42756 49882 74823 99764 149646 299292 401629 803258 1204887 1606516 2409774 2811403 4819548 5622806 8434209 11245612 16868418 19679821 33736836 39359642 59039463 78719284 118078926 204429161 236157852 408858322 613287483 817716644 1226574966 1431004127 2453149932 2862008254 4293012381 5724016508 8586024762 10017028889 17172049524 20034057778 30051086667 40068115556 60102173334 120204346668