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121222320120 = 233351167152297
BaseRepresentation
bin111000011100101101…
…0011100111111111000
3102120220012011220111000
41300321122130333320
53441230403220440
6131404435005000
711521000501626
oct1607132347770
9376805156430
10121222320120
1147456926340
121b5b1139760
13b57b4c5005
145c1d806516
15324744e730
hex1c3969cff8

121222320120 has 256 divisors, whose sum is σ = 447390604800. Its totient is φ = 28948423680.

The previous prime is 121222320097. The next prime is 121222320127. The reversal of 121222320120 is 21023222121.

121222320120 is a `hidden beast` number, since 1 + 2 + 1 + 222 + 320 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 121222320093 and 121222320102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121222320127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 719812 + ... + 872108.

It is an arithmetic number, because the mean of its divisors is an integer number (1747619550).

Almost surely, 2121222320120 is an apocalyptic number.

121222320120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121222320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223695302400).

121222320120 is an abundant number, since it is smaller than the sum of its proper divisors (326168284680).

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

121222320120 is a wasteful number, since it uses less digits than its factorization.

121222320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152395 (or 152385 counting only the distinct ones).

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

Adding to 121222320120 its reverse (21023222121), we get a palindrome (142245542241).

It can be divided in two parts, 121 and 222320120, that added together give a triangular number (222320241 = T21086).

The spelling of 121222320120 in words is "one hundred twenty-one billion, two hundred twenty-two million, three hundred twenty thousand, one hundred twenty".