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120421424800 = 2552173870097
BaseRepresentation
bin111000000100110101…
…1010001111010100000
3102111211101011012122101
41300021223101322200
53433110341043200
6131153145020144
711462104136065
oct1601153217240
9374741135571
10120421424800
1147085833886
121b408a84654
13b4815ba761
145b852c6c6c
1531ebe9c26a
hex1c09ad1ea0

120421424800 has 72 divisors (see below), whose sum is σ = 295678442556. Its totient is φ = 47890083840.

The previous prime is 120421424789. The next prime is 120421424801. The reversal of 120421424800 is 8424124021.

It can be written as a sum of positive squares in 6 ways, for example, as 103460009104 + 16961415696 = 321652^2 + 130236^2 .

It is not an unprimeable number, because it can be changed into a prime (120421424801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 296649 + ... + 573448.

Almost surely, 2120421424800 is an apocalyptic number.

120421424800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120421424800 is an abundant number, since it is smaller than the sum of its proper divisors (175257017756).

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

120421424800 is a wasteful number, since it uses less digits than its factorization.

120421424800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870290 (or 870277 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 120421424800 its reverse (8424124021), we get a palindrome (128845548821).

The spelling of 120421424800 in words is "one hundred twenty billion, four hundred twenty-one million, four hundred twenty-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 173 200 346 400 692 800 865 1384 1730 2768 3460 4325 5536 6920 8650 13840 17300 27680 34600 69200 138400 870097 1740194 3480388 4350485 6960776 8700970 13921552 17401940 21752425 27843104 34803880 43504850 69607760 87009700 139215520 150526781 174019400 301053562 348038800 602107124 696077600 752633905 1204214248 1505267810 2408428496 3010535620 3763169525 4816856992 6021071240 7526339050 12042142480 15052678100 24084284960 30105356200 60210712400 120421424800