Search a number
-
+
122402142720 = 29325111397383
BaseRepresentation
bin111000111111110111…
…1000111101000000000
3102200221102020002211100
41301333233013220000
54001134422031340
6132121502414400
711562145021644
oct1617757075000
9380842202740
10122402142720
1147a01900540
121b880291400
13b708a733b0
145cd23a2c24
1532b5d01830
hex1c7fbc7a00

122402142720 has 960 divisors, whose sum is σ = 504471711744. Its totient is φ = 27037532160.

The previous prime is 122402142691. The next prime is 122402142721. The reversal of 122402142720 is 27241204221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (122402142721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 319587649 + ... + 319588031.

Almost surely, 2122402142720 is an apocalyptic number.

122402142720 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 122402142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252235855872).

122402142720 is an abundant number, since it is smaller than the sum of its proper divisors (382069569024).

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

122402142720 is a wasteful number, since it uses less digits than its factorization.

122402142720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 122402142720 its reverse (27241204221), we get a palindrome (149643346941).

The spelling of 122402142720 in words is "one hundred twenty-two billion, four hundred two million, one hundred forty-two thousand, seven hundred twenty".