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122013212004 = 223310111185663
BaseRepresentation
bin111000110100010001…
…1011101110101100100
3102122221022101101012000
41301220203131311210
53444340340241004
6132015130325300
711546413122105
oct1615043356544
9378838341160
10122013212004
11478223060a2
121b791b89830
13b676309288
145c968803ac
153291ac7c39
hex1c688ddd64

122013212004 has 48 divisors (see below), whose sum is σ = 319462563840. Its totient is φ = 40268383200.

The previous prime is 122013211993. The next prime is 122013212011. The reversal of 122013212004 is 400212310221.

It is a happy number.

122013212004 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 (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5581924 + ... + 5603739.

It is an arithmetic number, because the mean of its divisors is an integer number (6655470080).

Almost surely, 2122013212004 is an apocalyptic number.

It is an amenable number.

122013212004 is an abundant number, since it is smaller than the sum of its proper divisors (197449351836).

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

122013212004 is a wasteful number, since it uses less digits than its factorization.

122013212004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11185777 (or 11185769 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122013212004 its reverse (400212310221), we get a palindrome (522225522225).

The spelling of 122013212004 in words is "one hundred twenty-two billion, thirteen million, two hundred twelve thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 303 404 606 909 1212 1818 2727 3636 5454 10908 11185663 22371326 33556989 44742652 67113978 100670967 134227956 201341934 302012901 402683868 604025802 1129751963 1208051604 2259503926 3389255889 4519007852 6778511778 10167767667 13557023556 20335535334 30503303001 40671070668 61006606002 122013212004