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122421430404 = 223471317244243
BaseRepresentation
bin111001000000011100…
…0101100100010000100
3102200222202112000120000
41302000320230202010
54001204341233104
6132123432041300
711562500663160
oct1620070544204
9380882460500
10122421430404
1147a11784679
121b886833230
13b70ca67520
145cd4b83ca0
1532b7861639
hex1c80e2c884

122421430404 has 240 divisors, whose sum is σ = 417059330688. Its totient is φ = 30387612672.

The previous prime is 122421430399. The next prime is 122421430451. The reversal of 122421430404 is 404034124221.

122421430404 is a `hidden beast` number, since 1 + 2 + 242 + 14 + 3 + 0 + 404 = 666.

It is a super-2 number, since 2×1224214304042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 379107 + ... + 623349.

Almost surely, 2122421430404 is an apocalyptic number.

122421430404 is a gapful number since it is divisible by the number (14) 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 122421430404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208529665344).

122421430404 is an abundant number, since it is smaller than the sum of its proper divisors (294637900284).

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

122421430404 is a wasteful number, since it uses less digits than its factorization.

122421430404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244296 (or 244285 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 122421430404 its reverse (404034124221), we get a palindrome (526455554625).

The spelling of 122421430404 in words is "one hundred twenty-two billion, four hundred twenty-one million, four hundred thirty thousand, four hundred four".