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2230123122000 = 2432532773131429
BaseRepresentation
bin100000011100111101101…
…100100100110101010000
321220012100010002200110200
4200130331230210311100
5243014243004401000
64424300542055200
7320056346524134
oct40347554446520
97805303080420
102230123122000
1178a8763aa434
1230026787a500
131323b85c6597
1479d1d4a93c4
153d025c9b500
hex2073db24d50

2230123122000 has 480 divisors, whose sum is σ = 7847659042080. Its totient is φ = 590246092800.

The previous prime is 2230123121981. The next prime is 2230123122047. The reversal of 2230123122000 is 2213210322.

2230123122000 is a `hidden beast` number, since 2 + 230 + 1 + 231 + 2 + 200 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2123734948416 + 106388173584 = 1457304^2 + 326172^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1560617286 + ... + 1560618714.

It is an arithmetic number, because the mean of its divisors is an integer number (16349289671).

Almost surely, 22230123122000 is an apocalyptic number.

2230123122000 is a gapful number since it is divisible by the number (20) 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 2230123122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3923829521040).

2230123122000 is an abundant number, since it is smaller than the sum of its proper divisors (5617535920080).

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

2230123122000 is a wasteful number, since it uses less digits than its factorization.

2230123122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2230123122000 its reverse (2213210322), we get a palindrome (2232336332322).

The spelling of 2230123122000 in words is "two trillion, two hundred thirty billion, one hundred twenty-three million, one hundred twenty-two thousand".