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120404000020122 = 2327131923376767853
BaseRepresentation
bin11011011000000110111101…
…101001101001011010011010
3120210022111202210002110222200
4123120012331221221122122
5111240144343001120442
61104024500051231030
734234621235534340
oct3330067551513232
9523274683073880
10120404000020122
11354010600a3965
1211607127ba8476
135225082695910
1421a382858d990
15ddbeb72ca34c
hex6d81bda6969a

120404000020122 has 768 divisors, whose sum is σ = 367613820887040. Its totient is φ = 27579603769344.

The previous prime is 120404000020081. The next prime is 120404000020133. The reversal of 120404000020122 is 221020000404021.

120404000020122 is a `hidden beast` number, since 1 + 2 + 0 + 40 + 400 + 0 + 0 + 201 + 22 = 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 = 120404000020095 and 120404000020104.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1774449148 + ... + 1774517000.

It is an arithmetic number, because the mean of its divisors is an integer number (478663829280).

Almost surely, 2120404000020122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120404000020122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183806910443520).

120404000020122 is an abundant number, since it is smaller than the sum of its proper divisors (247209820866918).

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

120404000020122 is a wasteful number, since it uses less digits than its factorization.

120404000020122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68027 (or 68024 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 120404000020122 its reverse (221020000404021), we get a palindrome (341424000424143).

The spelling of 120404000020122 in words is "one hundred twenty trillion, four hundred four billion, twenty thousand, one hundred twenty-two".