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1223223120 = 24355789101
BaseRepresentation
bin100100011101000…
…1110011101010000
310011020201011200000
41020322032131100
510001121114440
6321213530000
742212140110
oct11072163520
93136634600
101223223120
115785286a9
122a17a3900
13166565982
14b8657040
15725c6730
hex48e8e750

1223223120 has 480 divisors, whose sum is σ = 4972181760. Its totient is φ = 273715200.

The previous prime is 1223223101. The next prime is 1223223121. The reversal of 1223223120 is 213223221.

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 = 1223223093 and 1223223102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223223121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12111070 + ... + 12111170.

It is an arithmetic number, because the mean of its divisors is an integer number (10358712).

Almost surely, 21223223120 is an apocalyptic number.

1223223120 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 1223223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486090880).

1223223120 is an abundant number, since it is smaller than the sum of its proper divisors (3748958640).

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

1223223120 is a wasteful number, since it uses less digits than its factorization.

1223223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 207 counting only the distinct ones).

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

The square root of 1223223120 is about 34974.6067883543. The cubic root of 1223223120 is about 1069.4698861830.

Adding to 1223223120 its reverse (213223221), we get a palindrome (1436446341).

The spelling of 1223223120 in words is "one billion, two hundred twenty-three million, two hundred twenty-three thousand, one hundred twenty".