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123212131020 = 223451112754443
BaseRepresentation
bin111001011000000000…
…0111110101011001100
3102210000212100202220000
41302300000332223030
54004314301143040
6132334115324300
711621211555606
oct1626000765314
9383025322800
10123212131020
1148288043760
121ba675b0690
13b807812704
145d6bbac176
153311e9d130
hex1cb003eacc

123212131020 has 240 divisors, whose sum is σ = 424987250688. Its totient is φ = 29633869440.

The previous prime is 123212131013. The next prime is 123212131069. The reversal of 123212131020 is 20131212321.

123212131020 is a `hidden beast` number, since 1 + 232 + 121 + 310 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 123212130984 and 123212131002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2235919 + ... + 2290361.

Almost surely, 2123212131020 is an apocalyptic number.

123212131020 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 123212131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212493625344).

123212131020 is an abundant number, since it is smaller than the sum of its proper divisors (301775119668).

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

123212131020 is a wasteful number, since it uses less digits than its factorization.

123212131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54602 (or 54591 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 123212131020 its reverse (20131212321), we get a palindrome (143343343341).

The spelling of 123212131020 in words is "one hundred twenty-three billion, two hundred twelve million, one hundred thirty-one thousand, twenty".