Search a number
-
+
122112240000 = 273541961439
BaseRepresentation
bin111000110111001110…
…1001110100110000000
3102200012012201112001120
41301232131032212000
54000041213140000
6132033025032240
711552024625342
oct1615635164600
9380165645046
10122112240000
11478731a3313
121b7bb185680
13b69099c51a
145ca5a9b292
15329a6396a0
hex1c6e74e980

122112240000 has 640 divisors, whose sum is σ = 434635872000. Its totient is φ = 30274560000.

The previous prime is 122112239999. The next prime is 122112240001. The reversal of 122112240000 is 42211221.

It is an interprime number because it is at equal distance from previous prime (122112239999) and next prime (122112240001).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1221122400002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112240001) 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, 278159781 + ... + 278160219.

It is an arithmetic number, because the mean of its divisors is an integer number (679118550).

Almost surely, 2122112240000 is an apocalyptic number.

122112240000 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 122112240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217317936000).

122112240000 is an abundant number, since it is smaller than the sum of its proper divisors (312523632000).

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

122112240000 is an equidigital number, since it uses as much as digits as its factorization.

122112240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122112240000 its reverse (42211221), we get a palindrome (122154451221).

The spelling of 122112240000 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred forty thousand".