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122133310320120 = 233511419723265083
BaseRepresentation
bin11011110001010001100000…
…100100111010110111111000
3121000102211102101111211001020
4123301101200210322313320
5112002013004420220440
61111431133532422440
734503561166543521
oct3361214044726770
9530384371454036
10122133310320120
1135a0849a737680
1211846306617a20
13531c17761c368
1422233d88cd848
15e1be7add73d0
hex6f146093adf8

122133310320120 has 256 divisors, whose sum is σ = 413679250414080. Its totient is φ = 28588132761600.

The previous prime is 122133310320089. The next prime is 122133310320121. The reversal of 122133310320120 is 21023013331221.

122133310320120 is digitally balanced in base 4, 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122133310320121) 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, 6382902 + ... + 16882181.

It is an arithmetic number, because the mean of its divisors is an integer number (1615934571930).

Almost surely, 2122133310320120 is an apocalyptic number.

122133310320120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122133310320120 is an abundant number, since it is smaller than the sum of its proper divisors (291545940093960).

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

122133310320120 is a wasteful number, since it uses less digits than its factorization.

122133310320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23265246 (or 23265242 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 122133310320120 its reverse (21023013331221), we get a palindrome (143156323651341).

The spelling of 122133310320120 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, three hundred ten million, three hundred twenty thousand, one hundred twenty".