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120022221000 = 2335311191071789
BaseRepresentation
bin110111111000111100…
…0011100000011001000
3102110210112222112222110
41233301320130003020
53431301142033000
6131045404422320
711446156021443
oct1576170340310
9373715875873
10120022221000
11469a0462090
121b3172479a0
13b4199976a6
145b4828c65a
1531c6de4850
hex1bf1e1c0c8

120022221000 has 512 divisors, whose sum is σ = 434274048000. Its totient is φ = 27292032000.

The previous prime is 120022220993. The next prime is 120022221001. The reversal of 120022221000 is 122220021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (120022221001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67088106 + ... + 67089894.

It is an arithmetic number, because the mean of its divisors is an integer number (848191500).

Almost surely, 2120022221000 is an apocalyptic number.

120022221000 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 120022221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217137024000).

120022221000 is an abundant number, since it is smaller than the sum of its proper divisors (314251827000).

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

120022221000 is a wasteful number, since it uses less digits than its factorization.

120022221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 120022221000 its reverse (122220021), we get a palindrome (120144441021).

The spelling of 120022221000 in words is "one hundred twenty billion, twenty-two million, two hundred twenty-one thousand".