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1123212120030 = 23357111319534127
BaseRepresentation
bin10000010110000100101…
…010001100111111011110
310222101012120202122022000
4100112010222030333132
5121400314300320110
62215555125503130
7144102146330610
oct20260452147736
93871176678260
101123212120030
113a3395a61370
12161829571aa6
1381bc2aa6240
143c514210db0
151e33d7111c0
hex10584a8cfde

1123212120030 has 1024 divisors, whose sum is σ = 4314149683200. Its totient is φ = 200202762240.

The previous prime is 1123212120007. The next prime is 1123212120059. The reversal of 1123212120030 is 300212123211.

1123212120030 is a `hidden beast` number, since 112 + 321 + 2 + 1 + 200 + 30 = 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 = 1123212119985 and 1123212120012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 272159827 + ... + 272163953.

It is an arithmetic number, because the mean of its divisors is an integer number (4213036800).

Almost surely, 21123212120030 is an apocalyptic number.

1123212120030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123212120030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157074841600).

1123212120030 is an abundant number, since it is smaller than the sum of its proper divisors (3190937563170).

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

1123212120030 is a wasteful number, since it uses less digits than its factorization.

1123212120030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4246 (or 4240 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1123212120030 its reverse (300212123211), we get a palindrome (1423424243241).

The spelling of 1123212120030 in words is "one trillion, one hundred twenty-three billion, two hundred twelve million, one hundred twenty thousand, thirty".