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120002122200 = 2335231371271373
BaseRepresentation
bin110111111000010101…
…1110001000111011000
3102110202011011102121110
41233300223301013120
53431231020402300
6131043405540320
711445523131402
oct1576053610730
9373664142543
10120002122200
1146990084604
121b3105746a0
13b41577b2cc
145b45739b72
1531c5274550
hex1bf0af11d8

120002122200 has 384 divisors, whose sum is σ = 397780254720. Its totient is φ = 29872281600.

The previous prime is 120002122199. The next prime is 120002122223. The reversal of 120002122200 is 2221200021.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87400714 + ... + 87402086.

It is an arithmetic number, because the mean of its divisors is an integer number (1035886080).

Almost surely, 2120002122200 is an apocalyptic number.

120002122200 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 120002122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198890127360).

120002122200 is an abundant number, since it is smaller than the sum of its proper divisors (277778132520).

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

120002122200 is a wasteful number, since it uses less digits than its factorization.

120002122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1578 counting only the distinct ones).

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

Adding to 120002122200 its reverse (2221200021), we get a palindrome (122223322221).

It can be divided in two parts, 1200021 and 22200, that added together give a palindrome (1222221).

The spelling of 120002122200 in words is "one hundred twenty billion, two million, one hundred twenty-two thousand, two hundred".