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122021010012 = 223111019152491
BaseRepresentation
bin111000110100100000…
…1001101101001011100
3102122221212001120001010
41301221001031221130
53444344334310022
6132020005415220
711546536320606
oct1615101155134
9378855046033
10122021010012
1147826751930
121b79470a510
13b677b09795
145c97910176
15329261850c
hex1c6904da5c

122021010012 has 48 divisors (see below), whose sum is σ = 313674205824. Its totient is φ = 36609960000.

The previous prime is 122021009983. The next prime is 122021010031. The reversal of 122021010012 is 210010120221.

122021010012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 122021010012.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4562914 + ... + 4589577.

It is an arithmetic number, because the mean of its divisors is an integer number (6534879288).

Almost surely, 2122021010012 is an apocalyptic number.

122021010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122021010012 is an abundant number, since it is smaller than the sum of its proper divisors (191653195812).

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

122021010012 is a wasteful number, since it uses less digits than its factorization.

122021010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9152610 (or 9152608 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122021010012 its reverse (210010120221), we get a palindrome (332031130233).

The spelling of 122021010012 in words is "one hundred twenty-two billion, twenty-one million, ten thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 4444 6666 13332 9152491 18304982 27457473 36609964 54914946 100677401 109829892 201354802 302032203 402709604 604064406 924401591 1208128812 1848803182 2773204773 3697606364 5546409546 10168417501 11092819092 20336835002 30505252503 40673670004 61010505006 122021010012