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120220122000 = 243531117310529
BaseRepresentation
bin110111111110110101…
…1010111101110010000
3102111022100100222010010
41233331223113232100
53432202322401000
6131121154234520
711454111114336
oct1577553275620
9374270328103
10120220122000
1146a92141030
121b371585a40
13b44b998484
145b66685b56
1531d9486d50
hex1bfdad7b90

120220122000 has 320 divisors, whose sum is σ = 425309564160. Its totient is φ = 28973056000.

The previous prime is 120220121999. The next prime is 120220122007. The reversal of 120220122000 is 221022021.

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 (120220122007) 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, 11412736 + ... + 11423264.

It is an arithmetic number, because the mean of its divisors is an integer number (1329092388).

Almost surely, 2120220122000 is an apocalyptic number.

120220122000 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 120220122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212654782080).

120220122000 is an abundant number, since it is smaller than the sum of its proper divisors (305089442160).

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

120220122000 is a wasteful number, since it uses less digits than its factorization.

120220122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10739 (or 10723 counting only the distinct ones).

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

Adding to 120220122000 its reverse (221022021), we get a palindrome (120441144021).

The spelling of 120220122000 in words is "one hundred twenty billion, two hundred twenty million, one hundred twenty-two thousand".