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124400223020 = 225312812932437
BaseRepresentation
bin111001111011011010…
…1001100001100101100
3102220002122222002201102
41303312311030030230
54014232424114040
6133052040302232
711662516306643
oct1636665141454
9386078862642
10124400223020
1148837756877
1220139471978
13b9669c7a28
1460418bc35a
153381435515
hex1cf6d4c32c

124400223020 has 96 divisors (see below), whose sum is σ = 271662322176. Its totient is φ = 47800166400.

The previous prime is 124400223001. The next prime is 124400223029. The reversal of 124400223020 is 20322004421.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 124400222983 and 124400223001.

It is not an unprimeable number, because it can be changed into a prime (124400223029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51045242 + ... + 51047678.

It is an arithmetic number, because the mean of its divisors is an integer number (2829815856).

Almost surely, 2124400223020 is an apocalyptic number.

124400223020 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 124400223020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135831161088).

124400223020 is an abundant number, since it is smaller than the sum of its proper divisors (147262099156).

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

124400223020 is a wasteful number, since it uses less digits than its factorization.

124400223020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051 (or 3049 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 124400223020 its reverse (20322004421), we get a palindrome (144722227441).

The spelling of 124400223020 in words is "one hundred twenty-four billion, four hundred million, two hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 281 293 310 562 586 620 1124 1172 1405 1465 2437 2810 2930 4874 5620 5860 8711 9083 9748 12185 17422 18166 24370 34844 36332 43555 45415 48740 75547 82333 87110 90830 151094 164666 174220 181660 302188 329332 377735 411665 684797 714041 755470 823330 1369594 1428082 1510940 1646660 2552323 2739188 2856164 3423985 3570205 5104646 6847970 7140410 10209292 12761615 13695940 14280820 21228707 22135271 25523230 42457414 44270542 51046460 84914828 88541084 106143535 110676355 200645521 212287070 221352710 401291042 424574140 442705420 802582084 1003227605 2006455210 4012910420 6220011151 12440022302 24880044604 31100055755 62200111510 124400223020