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124401011040 = 253253112721943
BaseRepresentation
bin111001111011011100…
…0001100100101100000
3102220002201110010200100
41303312320030211200
54014233124323130
6133052105222400
711662526101245
oct1636670144540
9386081403610
10124401011040
1148838144929
1220139791a00
13b966c12607
146041a455cc
15338153dc60
hex1cf6e0c960

124401011040 has 288 divisors, whose sum is σ = 441683214336. Its totient is φ = 31849251840.

The previous prime is 124401011029. The next prime is 124401011069. The reversal of 124401011040 is 40110104421.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1244010110402 (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5658309 + ... + 5680251.

It is an arithmetic number, because the mean of its divisors is an integer number (1533622272).

Almost surely, 2124401011040 is an apocalyptic number.

124401011040 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 124401011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220841607168).

124401011040 is an abundant number, since it is smaller than the sum of its proper divisors (317282203296).

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

124401011040 is a wasteful number, since it uses less digits than its factorization.

124401011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22122 (or 22111 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 124401011040 its reverse (40110104421), we get a palindrome (164511115461).

The spelling of 124401011040 in words is "one hundred twenty-four billion, four hundred one million, eleven thousand, forty".