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120222012000 = 25353231034229
BaseRepresentation
bin110111111110111001…
…0100101001001100000
3102111022110220222201010
41233331302211021200
53432203313341000
6131121302540520
711454133145466
oct1577562451140
9374273828633
10120222012000
1146a93212012
121b372137740
13b44c1aa80c
145b66a18836
1531d970bd50
hex1bfdca5260

120222012000 has 384 divisors, whose sum is σ = 415059240960. Its totient is φ = 30360422400.

The previous prime is 120222011993. The next prime is 120222012011. The reversal of 120222012000 is 210222021.

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 63 ways as a sum of consecutive naturals, for example, 28425886 + ... + 28430114.

It is an arithmetic number, because the mean of its divisors is an integer number (1080883440).

Almost surely, 2120222012000 is an apocalyptic number.

120222012000 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 120222012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207529620480).

120222012000 is an abundant number, since it is smaller than the sum of its proper divisors (294837228960).

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

120222012000 is a wasteful number, since it uses less digits than its factorization.

120222012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4383 (or 4365 counting only the distinct ones).

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

Adding to 120222012000 its reverse (210222021), we get a palindrome (120432234021).

The spelling of 120222012000 in words is "one hundred twenty billion, two hundred twenty-two million, twelve thousand".