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121221112122 = 232111514054489
BaseRepresentation
bin111000011100101010…
…1110110000100111010
3102120220002220112102100
41300321111312010322
53441230101041442
6131404353044230
711520654311025
oct1607125660472
9376802815370
10121221112122
11474561807a0
121b5b0856676
13b57b191216
145c1d5b01bc
1532472b184c
hex1c3957613a

121221112122 has 48 divisors (see below), whose sum is σ = 288420200640. Its totient is φ = 36490392000.

The previous prime is 121221112099. The next prime is 121221112123. The reversal of 121221112122 is 221211122121.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 121221112095 and 121221112104.

It is not an unprimeable number, because it can be changed into a prime (121221112123) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1997347 + ... + 2057142.

It is an arithmetic number, because the mean of its divisors is an integer number (6008754180).

Almost surely, 2121221112122 is an apocalyptic number.

121221112122 is an abundant number, since it is smaller than the sum of its proper divisors (167199088518).

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

121221112122 is a wasteful number, since it uses less digits than its factorization.

121221112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4054659 (or 4054656 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

Adding to 121221112122 its reverse (221211122121), we get a palindrome (342432234243).

Subtracting 121221112122 from its reverse (221211122121), we obtain a palindrome (99990009999).

The spelling of 121221112122 in words is "one hundred twenty-one billion, two hundred twenty-one million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 151 198 302 453 906 1359 1661 2718 3322 4983 9966 14949 29898 4054489 8108978 12163467 24326934 36490401 44599379 72980802 89198758 133798137 267596274 401394411 612227839 802788822 1224455678 1836683517 3673367034 5510050551 6734506229 11020101102 13469012458 20203518687 40407037374 60610556061 121221112122