Search a number
-
+
122502433152 = 27311314012333
BaseRepresentation
bin111001000010110110…
…1101100100110000000
3102201012101221101102210
41302011231230212000
54001341110330102
6132135444142120
711564503333611
oct1620555544600
9381171841383
10122502433152
1147a534801a0
121b8a9997940
13b723789148
145d0182bc08
1532bea1236c
hex1c85b6c980

122502433152 has 256 divisors, whose sum is σ = 367500810240. Its totient is φ = 35819520000.

The previous prime is 122502433117. The next prime is 122502433159. The reversal of 122502433152 is 251334205221.

It is a super-2 number, since 2×1225024331522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122502433159) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52507378 + ... + 52509710.

It is an arithmetic number, because the mean of its divisors is an integer number (1435550040).

Almost surely, 2122502433152 is an apocalyptic number.

122502433152 is a gapful number since it is divisible by the number (12) 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 122502433152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183750405120).

122502433152 is an abundant number, since it is smaller than the sum of its proper divisors (244998377088).

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

122502433152 is a wasteful number, since it uses less digits than its factorization.

122502433152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 122502433152 its reverse (251334205221), we get a palindrome (373836638373).

The spelling of 122502433152 in words is "one hundred twenty-two billion, five hundred two million, four hundred thirty-three thousand, one hundred fifty-two".