Search a number
-
+
122020155400 = 2352111317250967
BaseRepresentation
bin111000110100011110…
…1111101000000001000
3102122221210110010201211
41301220331331000020
53444344124433100
6132015535222504
711546526131203
oct1615075750010
9378853403654
10122020155400
1147826218840
121b794377a34
13b67789a7b0
145c9776a93a
1532924ea1ba
hex1c68f7d008

122020155400 has 192 divisors, whose sum is σ = 352901162880. Its totient is φ = 38548377600.

The previous prime is 122020155373. The next prime is 122020155401. The reversal of 122020155400 is 4551020221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (122020155401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360717 + ... + 611683.

It is an arithmetic number, because the mean of its divisors is an integer number (1838026890).

Almost surely, 2122020155400 is an apocalyptic number.

122020155400 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 122020155400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176450581440).

122020155400 is an abundant number, since it is smaller than the sum of its proper divisors (230881007480).

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

122020155400 is a wasteful number, since it uses less digits than its factorization.

122020155400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251024 (or 251015 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 122020155400 its reverse (4551020221), we get a palindrome (126571175621).

The spelling of 122020155400 in words is "one hundred twenty-two billion, twenty million, one hundred fifty-five thousand, four hundred".