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122030220000 = 25354131011549
BaseRepresentation
bin111000110100110010…
…0010110001011100000
3102122222111101110202210
41301221210112023200
53444404214020000
6132020535042120
711550010520103
oct1615144261340
9378874343683
10122030220000
1147830972497
121b797810340
13b6799b2890
145c98c2a73a
153293337350
hex1c699162e0

122030220000 has 480 divisors, whose sum is σ = 435623680800. Its totient is φ = 29721600000.

The previous prime is 122030219959. The next prime is 122030220001. The reversal of 122030220000 is 22030221.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122030220001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78779226 + ... + 78780774.

It is an arithmetic number, because the mean of its divisors is an integer number (907549335).

Almost surely, 2122030220000 is an apocalyptic number.

122030220000 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 122030220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217811840400).

122030220000 is an abundant number, since it is smaller than the sum of its proper divisors (313593460800).

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

122030220000 is a wasteful number, since it uses less digits than its factorization.

122030220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 122030220000 its reverse (22030221), we get a palindrome (122052250221).

The spelling of 122030220000 in words is "one hundred twenty-two billion, thirty million, two hundred twenty thousand".