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120002210020 = 22571182993997
BaseRepresentation
bin110111111000010110…
…0000110100011100100
3102110202011022220002001
41233300230012203210
53431231031210040
6131043411455044
711445523645420
oct1576054064344
9373664286061
10120002210020
1146990134590
121b3105b7484
13b4157ac284
145b4575db80
1531c529059a
hex1bf0b068e4

120002210020 has 96 divisors (see below), whose sum is σ = 314569946880. Its totient is φ = 37357770240.

The previous prime is 120002209979. The next prime is 120002210021. The reversal of 120002210020 is 20012200021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 120002209979 and 120002210006.

It is not an unprimeable number, because it can be changed into a prime (120002210021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1229662 + ... + 1323658.

It is an arithmetic number, because the mean of its divisors is an integer number (3276770280).

Almost surely, 2120002210020 is an apocalyptic number.

120002210020 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 120002210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157284973440).

120002210020 is an abundant number, since it is smaller than the sum of its proper divisors (194567736860).

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

120002210020 is a wasteful number, since it uses less digits than its factorization.

120002210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94853 (or 94851 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 120002210020 its reverse (20012200021), we get a palindrome (140014410041).

Subtracting from 120002210020 its reverse (20012200021), we obtain a palindrome (99990009999).

The spelling of 120002210020 in words is "one hundred twenty billion, two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 829 1540 1658 3316 4145 5803 8290 9119 11606 16580 18238 23212 29015 36476 45595 58030 63833 91190 93997 116060 127666 182380 187994 255332 319165 375988 469985 638330 657979 939970 1033967 1276660 1315958 1879940 2067934 2631916 3289895 4135868 5169835 6579790 7237769 10339670 13159580 14475538 20679340 28951076 36188845 72377690 77923513 144755380 155847026 311694052 389617565 545464591 779235130 857158643 1090929182 1558470260 1714317286 2181858364 2727322955 3428634572 4285793215 5454645910 6000110501 8571586430 10909291820 12000221002 17143172860 24000442004 30000552505 60001105010 120002210020