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12123211020 = 22351743475881
BaseRepresentation
bin10110100101001100…
…11000010100001100
31011021212221221002120
423102212120110030
5144312020223040
65322550252540
7606265410354
oct132246302414
934255857076
1012123211020
115161266968
122424057150
1311b284415b
14830131b64
154ae4ac7d0
hex2d299850c

12123211020 has 192 divisors, whose sum is σ = 37566498816. Its totient is φ = 2908200960.

The previous prime is 12123211007. The next prime is 12123211033. The reversal of 12123211020 is 2011232121.

It is an interprime number because it is at equal distance from previous prime (12123211007) and next prime (12123211033).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2058480 + ... + 2064360.

It is an arithmetic number, because the mean of its divisors is an integer number (195658848).

Almost surely, 212123211020 is an apocalyptic number.

12123211020 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 12123211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18783249408).

12123211020 is an abundant number, since it is smaller than the sum of its proper divisors (25443287796).

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

12123211020 is a wasteful number, since it uses less digits than its factorization.

12123211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6000 (or 5998 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12123211020 its reverse (2011232121), we get a palindrome (14134443141).

The spelling of 12123211020 in words is "twelve billion, one hundred twenty-three million, two hundred eleven thousand, twenty".