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120008676972 = 223233711751731
BaseRepresentation
bin110111111000100010…
…0110001011001101100
3102110202121111110001210
41233301010301121230
53431234210130342
6131044202234420
711445632631462
oct1576104613154
9373677443053
10120008676972
1146993851278
121b3127b5a10
13b416c34982
145b46564832
1531c5b1b79c
hex1bf113166c

120008676972 has 48 divisors (see below), whose sum is σ = 300092228352. Its totient is φ = 37229480640.

The previous prime is 120008676971. The next prime is 120008676973. The reversal of 120008676972 is 279676800021.

It is an interprime number because it is at equal distance from previous prime (120008676971) and next prime (120008676973).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (120008676971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5865654 + ... + 5886077.

It is an arithmetic number, because the mean of its divisors is an integer number (6251921424).

Almost surely, 2120008676972 is an apocalyptic number.

120008676972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120008676972 is an abundant number, since it is smaller than the sum of its proper divisors (180083551380).

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

120008676972 is a wasteful number, since it uses less digits than its factorization.

120008676972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11751798 (or 11751796 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 120008676972 in words is "one hundred twenty billion, eight million, six hundred seventy-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 276 444 851 1702 2553 3404 5106 10212 11751731 23503462 35255193 47006924 70510386 141020772 270289813 434814047 540579626 810869439 869628094 1081159252 1304442141 1621738878 1739256188 2608884282 3243477756 5217768564 10000723081 20001446162 30002169243 40002892324 60004338486 120008676972