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120221112000 = 2635311479689
BaseRepresentation
bin110111111110110111…
…1001001011011000000
3102111022102020021010210
41233331233021123000
53432203101041000
6131121231354120
711454122406543
oct1577557113300
9374272207123
10120221112000
1146a92757910
121b371982940
13b44bc53c82
145b6686285a
1531d95d0350
hex1bfdbc96c0

120221112000 has 448 divisors, whose sum is σ = 442317957120. Its totient is φ = 28521472000.

The previous prime is 120221111999. The next prime is 120221112007. The reversal of 120221112000 is 211122021.

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 (120221112007) 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, 12403156 + ... + 12412844.

Almost surely, 2120221112000 is an apocalyptic number.

120221112000 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 120221112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221158978560).

120221112000 is an abundant number, since it is smaller than the sum of its proper divisors (322096845120).

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

120221112000 is a wasteful number, since it uses less digits than its factorization.

120221112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9777 (or 9757 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120221112000 its reverse (211122021), we get a palindrome (120432234021).

It can be divided in two parts, 120221 and 112000, that added together give a triangular number (232221 = T681).

The spelling of 120221112000 in words is "one hundred twenty billion, two hundred twenty-one million, one hundred twelve thousand".