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12123210301020 = 223257133720003317
BaseRepresentation
bin1011000001101010011110…
…1001001011111001011100
31120220222010100222220101200
42300122213221023321130
53042111313314113040
641441154222235500
72360605311210060
oct260324751137134
946828110886350
1012123210301020
113954474188665
121439686725b90
1369c2a1a11350
142dcaa3431aa0
15160544b5b630
hexb06a7a4be5c

12123210301020 has 288 divisors, whose sum is σ = 46483230288768. Its totient is φ = 2488732563456.

The previous prime is 12123210300991. The next prime is 12123210301049. The reversal of 12123210301020 is 2010301232121.

12123210301020 is a `hidden beast` number, since 1 + 21 + 2 + 321 + 0 + 301 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (12123210300991) and next prime (12123210301049).

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 = 12123210300984 and 12123210301002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9395599 + ... + 10607718.

Almost surely, 212123210301020 is an apocalyptic number.

12123210301020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12123210301020 is an abundant number, since it is smaller than the sum of its proper divisors (34360019987748).

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

12123210301020 is a wasteful number, since it uses less digits than its factorization.

12123210301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20003389 (or 20003384 counting only the distinct ones).

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

Adding to 12123210301020 its reverse (2010301232121), we get a palindrome (14133511533141).

The spelling of 12123210301020 in words is "twelve trillion, one hundred twenty-three billion, two hundred ten million, three hundred one thousand, twenty".