Search a number
-
+
122132030020 = 22571121317219101
BaseRepresentation
bin111000110111110100…
…0101110001001000100
3102200020120221221212021
41301233220232021010
54000111244430040
6132035013132524
711552355061240
oct1615750561104
9380216857767
10122132030020
114788338a900
121b80592a144
13b694b0b1b0
145ca856d420
15329c24824a
hex1c6fa2e244

122132030020 has 864 divisors, whose sum is σ = 391820808960. Its totient is φ = 31021056000.

The previous prime is 122132029979. The next prime is 122132030029. The reversal of 122132030020 is 20030231221.

It is a junction number, because it is equal to n+sod(n) for n = 122132029976 and 122132030003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122132030029) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1209227970 + ... + 1209228070.

Almost surely, 2122132030020 is an apocalyptic number.

122132030020 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 122132030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195910404480).

122132030020 is an abundant number, since it is smaller than the sum of its proper divisors (269688778940).

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

122132030020 is a wasteful number, since it uses less digits than its factorization.

122132030020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 122132030020 its reverse (20030231221), we get a palindrome (142162261241).

The spelling of 122132030020 in words is "one hundred twenty-two billion, one hundred thirty-two million, thirty thousand, twenty".