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10212200012 = 2272919963199
BaseRepresentation
bin10011000001011000…
…11100111001001100
3222100201001111211002
421200230130321030
5131403310400022
64405202515432
7511032160610
oct114054347114
928321044732
1010212200012
114370580023
121b90065b78
13c69956801
146cc3dd340
153eb827092
hex260b1ce4c

10212200012 has 48 divisors (see below), whose sum is σ = 21235200000. Its totient is φ = 4204436544.

The previous prime is 10212200003. The next prime is 10212200029. The reversal of 10212200012 is 21000221201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10212199966 and 10212200002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129989 + ... + 193187.

It is an arithmetic number, because the mean of its divisors is an integer number (442400000).

Almost surely, 210212200012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10617600000).

10212200012 is an abundant number, since it is smaller than the sum of its proper divisors (11022999988).

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

10212200012 is a wasteful number, since it uses less digits than its factorization.

10212200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63438 (or 63436 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10212200012 its reverse (21000221201), we get a palindrome (31212421213).

The spelling of 10212200012 in words is "ten billion, two hundred twelve million, two hundred thousand, twelve".

Divisors: 1 2 4 7 14 28 29 58 116 199 203 398 406 796 812 1393 2786 5572 5771 11542 23084 40397 63199 80794 126398 161588 252796 442393 884786 1769572 1832771 3665542 7331084 12576601 12829397 25153202 25658794 50306404 51317588 88036207 176072414 352144828 364721429 729442858 1458885716 2553050003 5106100006 10212200012