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120222221020 = 2251173101137541
BaseRepresentation
bin110111111110111001…
…1011000001011011100
3102111022111022121102121
41233331303120023130
53432203342033040
6131121311232324
711454135006046
oct1577563301334
9374274277377
10120222221020
1146a93345060
121b3722186a4
13b44c2519b5
145b66a70a96
1531d974dc4a
hex1bfdcd82dc

120222221020 has 192 divisors, whose sum is σ = 284538344832. Its totient is φ = 42301440000.

The previous prime is 120222220897. The next prime is 120222221111. The reversal of 120222221020 is 20122222021.

It is a junction number, because it is equal to n+sod(n) for n = 120222220985 and 120222221003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222221950 + ... + 222222490.

It is an arithmetic number, because the mean of its divisors is an integer number (1481970546).

Almost surely, 2120222221020 is an apocalyptic number.

120222221020 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 120222221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142269172416).

120222221020 is an abundant number, since it is smaller than the sum of its proper divisors (164316123812).

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

120222221020 is a wasteful number, since it uses less digits than its factorization.

120222221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 120222221020 its reverse (20122222021), we get a palindrome (140344443041).

It can be divided in two parts, 1202 and 22221020, that added together give a palindrome (22222222).

The spelling of 120222221020 in words is "one hundred twenty billion, two hundred twenty-two million, two hundred twenty-one thousand, twenty".