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122221400444 = 221113213673777
BaseRepresentation
bin111000111010011110…
…1101001000101111100
3102200110211010110000222
41301310331221011330
54000302134303234
6132051524440512
711554521522353
oct1616475510574
9380424113028
10122221400444
1147919881160
121b82b849138
13b6aa49c6c0
145cb639499a
1532a4eed42e
hex1c74f6917c

122221400444 has 24 divisors (see below), whose sum is σ = 251280362928. Its totient is φ = 51281706240.

The previous prime is 122221400393. The next prime is 122221400449. The reversal of 122221400444 is 444004122221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122221400449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106836317 + ... + 106837460.

It is an arithmetic number, because the mean of its divisors is an integer number (10470015122).

Almost surely, 2122221400444 is an apocalyptic number.

It is an amenable number.

122221400444 is an abundant number, since it is smaller than the sum of its proper divisors (129058962484).

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

122221400444 is a wasteful number, since it uses less digits than its factorization.

122221400444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213673805 (or 213673803 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 122221400444 its reverse (444004122221), we get a palindrome (566225522665).

The spelling of 122221400444 in words is "one hundred twenty-two billion, two hundred twenty-one million, four hundred thousand, four hundred forty-four".

Divisors: 1 2 4 11 13 22 26 44 52 143 286 572 213673777 427347554 854695108 2350411547 2777759101 4700823094 5555518202 9401646188 11111036404 30555350111 61110700222 122221400444