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120221232000 = 273535942451
BaseRepresentation
bin110111111110110111…
…1100110101110000000
3102111022102110100202020
41233331233212232000
53432203113411000
6131121234121440
711454123416442
oct1577557465600
9374272410666
10120221232000
1146a92829a91
121b371a20280
13b44bc9678c
145b66894492
1531d9605ba0
hex1bfdbe6b80

120221232000 has 256 divisors, whose sum is σ = 405297734400. Its totient is φ = 31514880000.

The previous prime is 120221231987. The next prime is 120221232023. The reversal of 120221232000 is 232122021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 2810775 + ... + 2853225.

It is an arithmetic number, because the mean of its divisors is an integer number (1583194275).

Almost surely, 2120221232000 is an apocalyptic number.

120221232000 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 120221232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202648867200).

120221232000 is an abundant number, since it is smaller than the sum of its proper divisors (285076502400).

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

120221232000 is an equidigital number, since it uses as much as digits as its factorization.

120221232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42542 (or 42520 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 120221232000 its reverse (232122021), we get a palindrome (120453354021).

The spelling of 120221232000 in words is "one hundred twenty billion, two hundred twenty-one million, two hundred thirty-two thousand".