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1123300032120 = 2332571638573191
BaseRepresentation
bin10000010110001001111…
…001100011111001111000
310222101102201012001000100
4100112021321203321320
5121401004302011440
62220011550035400
7144104264506230
oct20261171437170
93871381161010
101123300032120
113a3430646a92
12161852aa8b60
1381c08076a26
143c521b76cc0
151e3462c9230
hex10589e63e78

1123300032120 has 384 divisors, whose sum is σ = 4204069309440. Its totient is φ = 254801479680.

The previous prime is 1123300032047. The next prime is 1123300032133. The reversal of 1123300032120 is 212300033211.

1123300032120 is a `hidden beast` number, since 1 + 1 + 23 + 300 + 0 + 321 + 20 = 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 = 1123300032093 and 1123300032102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 352019725 + ... + 352022915.

It is an arithmetic number, because the mean of its divisors is an integer number (10948097160).

Almost surely, 21123300032120 is an apocalyptic number.

1123300032120 is a gapful number since it is divisible by the number (10) 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 1123300032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2102034654720).

1123300032120 is an abundant number, since it is smaller than the sum of its proper divisors (3080769277320).

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

1123300032120 is a wasteful number, since it uses less digits than its factorization.

1123300032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4235 (or 4228 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1123300032120 its reverse (212300033211), we get a palindrome (1335600065331).

The spelling of 1123300032120 in words is "one trillion, one hundred twenty-three billion, three hundred million, thirty-two thousand, one hundred twenty".