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1241122242030 = 235112310110715131
BaseRepresentation
bin10010000011111000101…
…001100111110111101110
311101122112221110110010120
4102003320221213313232
5130313304243221110
62350055204545410
7155445110664336
oct22037051476756
94348487413116
101241122242030
114393a2171190
121806553b2266
13900640079b8
14440dbb840c6
152243ee9d870
hex120f8a67dee

1241122242030 has 256 divisors, whose sum is σ = 3456569106432. Its totient is φ = 282265280000.

The previous prime is 1241122241971. The next prime is 1241122242037. The reversal of 1241122242030 is 302422211421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1241122242037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82017565 + ... + 82032695.

It is an arithmetic number, because the mean of its divisors is an integer number (13502223072).

Almost surely, 21241122242030 is an apocalyptic number.

1241122242030 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 1241122242030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728284553216).

1241122242030 is an abundant number, since it is smaller than the sum of its proper divisors (2215446864402).

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

1241122242030 is a wasteful number, since it uses less digits than its factorization.

1241122242030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15383.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1241122242030 its reverse (302422211421), we get a palindrome (1543544453451).

The spelling of 1241122242030 in words is "one trillion, two hundred forty-one billion, one hundred twenty-two million, two hundred forty-two thousand, thirty".