Search a number
-
+
122342204000 = 2553179241709
BaseRepresentation
bin111000111110000101…
…0011110001001100000
3102200210020102220100202
41301330022132021200
54001024101012000
6132111522004332
711560516401332
oct1617412361140
9380706386322
10122342204000
1147980a91705
121b8641a66a8
13b6c95182b3
145cc843d452
1532b0911dd5
hex1c7c29e260

122342204000 has 192 divisors, whose sum is σ = 303956452800. Its totient is φ = 48393216000.

The previous prime is 122342203993. The next prime is 122342204053. The reversal of 122342204000 is 402243221.

It is a super-2 number, since 2×1223422040002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 172555646 + ... + 172556354.

It is an arithmetic number, because the mean of its divisors is an integer number (1583106525).

Almost surely, 2122342204000 is an apocalyptic number.

122342204000 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 122342204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151978226400).

122342204000 is an abundant number, since it is smaller than the sum of its proper divisors (181614248800).

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

122342204000 is a wasteful number, since it uses less digits than its factorization.

122342204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 122342204000 its reverse (402243221), we get a palindrome (122744447221).

The spelling of 122342204000 in words is "one hundred twenty-two billion, three hundred forty-two million, two hundred four thousand".