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120020221000204 = 2271710110957140111
BaseRepresentation
bin11011010010100001100010…
…101000110111101000001100
3120201221211011120011021110221
4123102201202220313220030
5111212402403034001304
61103132310043041124
734165113650641420
oct3322414250675014
9521854146137427
10120020221000204
1135273320919a28
12115648812101a4
1351c7b20832355
14218d01c842b80
15dd20049c8054
hex6d2862a37a0c

120020221000204 has 192 divisors, whose sum is σ = 259491857264640. Its totient is φ = 47408094720000.

The previous prime is 120020221000201. The next prime is 120020221000213. The reversal of 120020221000204 is 402000122020021.

It is not an unprimeable number, because it can be changed into a prime (120020221000201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2992182109 + ... + 2992222219.

It is an arithmetic number, because the mean of its divisors is an integer number (1351520089920).

Almost surely, 2120020221000204 is an apocalyptic number.

120020221000204 is a gapful number since it is divisible by the number (14) 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 120020221000204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129745928632320).

120020221000204 is an abundant number, since it is smaller than the sum of its proper divisors (139471636264436).

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

120020221000204 is a wasteful number, since it uses less digits than its factorization.

120020221000204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40920 (or 40918 counting only the distinct ones).

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

Adding to 120020221000204 its reverse (402000122020021), we get a palindrome (522020343020225).

The spelling of 120020221000204 in words is "one hundred twenty trillion, twenty billion, two hundred twenty-one million, two hundred four", and thus it is an aban number.