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120021001112322 = 23211175159666879
BaseRepresentation
bin11011010010100010010001…
…001000110000101100000010
3120201221220011221002002010100
4123102202101020300230002
5111212411002241043242
61103132515311343230
734165142202533652
oct3322422110605402
9521856157062110
10120021001112322
1135273691206792
1211564a5a521b16
1351c7c16340b5b
14218d0942b2362
15dd204d22254c
hex6d2891230b02

120021001112322 has 24 divisors (see below), whose sum is σ = 260047833776640. Its totient is φ = 40006641699000.

The previous prime is 120021001112317. The next prime is 120021001112329. The reversal of 120021001112322 is 223211100120021.

120021001112322 is a `hidden beast` number, since 1 + 20 + 0 + 210 + 0 + 1 + 112 + 322 = 666.

It is a super-2 number, since 2×1200210011123222 (a number of 29 digits) contains 22 as substring.

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 = 120021001112295 and 120021001112304.

It is not an unprimeable number, because it can be changed into a prime (120021001112329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27821922 + ... + 31844957.

It is an arithmetic number, because the mean of its divisors is an integer number (10835326407360).

Almost surely, 2120021001112322 is an apocalyptic number.

120021001112322 is an abundant number, since it is smaller than the sum of its proper divisors (140026832664318).

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

120021001112322 is a wasteful number, since it uses less digits than its factorization.

120021001112322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59778638 (or 59778635 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 120021001112322 its reverse (223211100120021), we get a palindrome (343232101232343).

The spelling of 120021001112322 in words is "one hundred twenty trillion, twenty-one billion, one million, one hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 111751 223502 335253 670506 1005759 2011518 59666879 119333758 179000637 358001274 537001911 1074003822 6667833395129 13335666790258 20003500185387 40007000370774 60010500556161 120021001112322