Search a number
-
+
122397237071040 = 26352983161332839
BaseRepresentation
bin11011110101000111010011…
…110101100100110011000000
3121001101001122220020220220010
4123311013103311210303000
5112020324020142233130
61112152303042544520
734531623431113611
oct3365072365446300
9531331586226803
10122397237071040
1135aaa416489a28
12118894a3068140
13533b018a81769
1422320b4b8bc08
15e23c766b60b0
hex6f51d3d64cc0

122397237071040 has 448 divisors, whose sum is σ = 407119760409600. Its totient is φ = 31113837920256.

The previous prime is 122397237071033. The next prime is 122397237071077. The reversal of 122397237071040 is 40170732793221.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3727174941 + ... + 3727207779.

It is an arithmetic number, because the mean of its divisors is an integer number (908749465200).

Almost surely, 2122397237071040 is an apocalyptic number.

122397237071040 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 122397237071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203559880204800).

122397237071040 is an abundant number, since it is smaller than the sum of its proper divisors (284722523338560).

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

122397237071040 is a wasteful number, since it uses less digits than its factorization.

122397237071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34584 (or 34574 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 48.

The spelling of 122397237071040 in words is "one hundred twenty-two trillion, three hundred ninety-seven billion, two hundred thirty-seven million, seventy-one thousand, forty".