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122221221012 = 223211308639447
BaseRepresentation
bin111000111010011110…
…0111101010010010100
3102200110210210022220100
41301310330331102110
54000302113033022
6132051520534100
711554520144262
oct1616474752224
9380423708810
10122221221012
1147919769370
121b82b781330
13b6aa438b27
145cb6349432
1532a4eb51ac
hex1c74f3d494

122221221012 has 36 divisors (see below), whose sum is σ = 337034277216. Its totient is φ = 37036733520.

The previous prime is 122221221007. The next prime is 122221221019. The reversal of 122221221012 is 210122122221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122221221019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154319328 + ... + 154320119.

It is an arithmetic number, because the mean of its divisors is an integer number (9362063256).

Almost surely, 2122221221012 is an apocalyptic number.

122221221012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122221221012 is an abundant number, since it is smaller than the sum of its proper divisors (214813056204).

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

122221221012 is a wasteful number, since it uses less digits than its factorization.

122221221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308639468 (or 308639463 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122221221012 its reverse (210122122221), we get a palindrome (332343343233).

The spelling of 122221221012 in words is "one hundred twenty-two billion, two hundred twenty-one million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 308639447 617278894 925918341 1234557788 1851836682 2777755023 3395033917 3703673364 5555510046 6790067834 10185101751 11111020092 13580135668 20370203502 30555305253 40740407004 61110610506 122221221012