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220124242425120 = 25351141690197429
BaseRepresentation
bin110010000011001110101011…
…010001101011010100100000
31001212101200010221010200220220
4302003032223101223110200
5212323003422030100440
62100055403030003040
764236310634461245
oct6203165321532440
91055350127120826
10220124242425120
1164158192249270
12208316774a6480
1395a981c66b2a7
143c500da8055cc
151a6ae0b58a8d0
hexc833ab46b520

220124242425120 has 96 divisors (see below), whose sum is σ = 756426942169920. Its totient is φ = 53363452707840.

The previous prime is 220124242425119. The next prime is 220124242425181. The reversal of 220124242425120 is 21524242421022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20845093435 + ... + 20845103994.

It is an arithmetic number, because the mean of its divisors is an integer number (7879447314270).

Almost surely, 2220124242425120 is an apocalyptic number.

220124242425120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220124242425120 is an abundant number, since it is smaller than the sum of its proper divisors (536302699744800).

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

220124242425120 is a wasteful number, since it uses less digits than its factorization.

220124242425120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41690197458 (or 41690197450 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 33.

Adding to 220124242425120 its reverse (21524242421022), we get a palindrome (241648484846142).

The spelling of 220124242425120 in words is "two hundred twenty trillion, one hundred twenty-four billion, two hundred forty-two million, four hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 41690197429 83380394858 125070592287 166760789716 208450987145 250141184574 333521579432 416901974290 458592171719 500282369148 625352961435 667043158864 833803948580 917184343438 1000564738296 1250705922870 1334086317728 1375776515157 1667607897160 1834368686876 2001129476592 2292960858595 2501411845740 2751553030314 3335215794320 3668737373752 4002258953184 4585921717190 5002823691480 5503106060628 6670431588640 6878882575785 7337474747504 9171843434380 10005647382960 11006212121256 13757765151570 14674949495008 18343686868760 20011294765920 22012424242512 27515530303140 36687373737520 44024848485024 55031060606280 73374747475040 110062121212560 220124242425120