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10123212220 = 225114373107137
BaseRepresentation
bin10010110110110001…
…11111010110111100
3222010111121110111221
421123120333112330
5131213020242340
64352303323124
7505601612152
oct113330772674
928114543457
1010123212220
1143253201a0
121b662b04a4
13c5439a504
146c06773d2
153e3aea44a
hex25b63f5bc

10123212220 has 192 divisors, whose sum is σ = 24457821696. Its totient is φ = 3487518720.

The previous prime is 10123212191. The next prime is 10123212227. The reversal of 10123212220 is 2221232101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10123212194 and 10123212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123212227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73891992 + ... + 73892128.

It is an arithmetic number, because the mean of its divisors is an integer number (127384488).

Almost surely, 210123212220 is an apocalyptic number.

10123212220 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 10123212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12228910848).

10123212220 is an abundant number, since it is smaller than the sum of its proper divisors (14334609476).

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

10123212220 is a wasteful number, since it uses less digits than its factorization.

10123212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10123212220 its reverse (2221232101), we get a palindrome (12344444321).

The spelling of 10123212220 in words is "ten billion, one hundred twenty-three million, two hundred twelve thousand, two hundred twenty".