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1122400125 = 33537211617
BaseRepresentation
bin100001011100110…
…0111011101111101
32220012222211112000
41002321213131331
54244313301000
6303212532513
736546146400
oct10271473575
92805884460
101122400125
11526624910
12273a81139
1314b6c46b2
14a90cdd37
156880d000
hex42e6777d

1122400125 has 192 divisors, whose sum is σ = 2637722880. Its totient is φ = 465696000.

The previous prime is 1122400109. The next prime is 1122400127. The reversal of 1122400125 is 5210042211.

It is not a de Polignac number, because 1122400125 - 24 = 1122400109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1122400098 and 1122400107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122400127) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1818817 + ... + 1819433.

It is an arithmetic number, because the mean of its divisors is an integer number (13738140).

Almost surely, 21122400125 is an apocalyptic number.

1122400125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1122400125 is an abundant number, since it is smaller than the sum of its proper divisors (1515322755).

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

1122400125 is a wasteful number, since it uses less digits than its factorization.

1122400125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1122400125 is about 33502.2405967123. The cubic root of 1122400125 is about 1039.2401146050.

Adding to 1122400125 its reverse (5210042211), we get a palindrome (6332442336).

The spelling of 1122400125 in words is "one billion, one hundred twenty-two million, four hundred thousand, one hundred twenty-five".