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120250066200 = 2335211212171361
BaseRepresentation
bin110111111111101110…
…1100110010100011000
3102111101102201021211120
41233333131212110120
53432233004104300
6131124144125240
711454623461245
oct1577735462430
9374342637746
10120250066200
1146aa8033600
121b37b606820
13b454c50c34
145b6a63c5cc
1531dbdee3a0
hex1bff766518

120250066200 has 288 divisors, whose sum is σ = 410382640080. Its totient is φ = 29106176000.

The previous prime is 120250066129. The next prime is 120250066291. The reversal of 120250066200 is 2660052021.

It is a super-2 number, since 2×1202500662002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 71 ways as a sum of consecutive naturals, for example, 88353520 + ... + 88354880.

Almost surely, 2120250066200 is an apocalyptic number.

120250066200 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 120250066200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205191320040).

120250066200 is an abundant number, since it is smaller than the sum of its proper divisors (290132573880).

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

120250066200 is a wasteful number, since it uses less digits than its factorization.

120250066200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 120250066200 in words is "one hundred twenty billion, two hundred fifty million, sixty-six thousand, two hundred".