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20120424332040 = 23325199421966569
BaseRepresentation
bin1001001001100101001101…
…01111101011101100001000
32122020111022222002102021200
410210302212233223230020
510114123112112111130
6110443110105304200
74144436604656634
oct444624657535410
978214288072250
1020120424332040
116458029aa709a
12230b581495060
13b2c46a37b846
144d7b95a9ddc4
1524d5a2209760
hex124ca6bebb08

20120424332040 has 192 divisors, whose sum is σ = 65736543600000. Its totient is φ = 5337138926592.

The previous prime is 20120424332017. The next prime is 20120424332093. The reversal of 20120424332040 is 4023342402102.

20120424332040 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 0 + 424 + 33 + 204 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20120424331995 and 20120424332013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302215876 + ... + 302282444.

It is an arithmetic number, because the mean of its divisors is an integer number (342377831250).

Almost surely, 220120424332040 is an apocalyptic number.

20120424332040 is a gapful number since it is divisible by the number (20) 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 20120424332040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32868271800000).

20120424332040 is an abundant number, since it is smaller than the sum of its proper divisors (45616119267960).

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

20120424332040 is a wasteful number, since it uses less digits than its factorization.

20120424332040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71004 (or 70997 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 20120424332040 its reverse (4023342402102), we get a palindrome (24143766734142).

The spelling of 20120424332040 in words is "twenty trillion, one hundred twenty billion, four hundred twenty-four million, three hundred thirty-two thousand, forty".