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124642740000 = 2535411811759
BaseRepresentation
bin111010000010101001…
…0010100011100100000
3102220201120022020110210
41310011102110130200
54020232020140000
6133132102254120
712001522544352
oct1640522243440
9386646266423
10124642740000
1148951639429
12201a6727340
13b9a501a3bc
146065bab0d2
15339788c350
hex1d05494720

124642740000 has 240 divisors, whose sum is σ = 409431939840. Its totient is φ = 33191040000.

The previous prime is 124642739987. The next prime is 124642740007. The reversal of 124642740000 is 47246421.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 124642740000.

It is not an unprimeable number, because it can be changed into a prime (124642740007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70859121 + ... + 70860879.

It is an arithmetic number, because the mean of its divisors is an integer number (1705966416).

Almost surely, 2124642740000 is an apocalyptic number.

124642740000 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 124642740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204715969920).

124642740000 is an abundant number, since it is smaller than the sum of its proper divisors (284789199840).

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

124642740000 is a wasteful number, since it uses less digits than its factorization.

124642740000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

Adding to 124642740000 its reverse (47246421), we get a palindrome (124689986421).

The spelling of 124642740000 in words is "one hundred twenty-four billion, six hundred forty-two million, seven hundred forty thousand".