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120300411000220 = 225111016607819443
BaseRepresentation
bin11011010110100110011111…
…010000111001010110011100
3120202221121101111002000222221
4123112212133100321112130
5111232000220204001340
61103505125035115124
734224263221435063
oct3326463720712634
9522847344060887
10120300411000220
113537113286a010
12115ab0382a2aa4
13521838444ba79
14219c7dc9db1da
15dd9452e4c44a
hex6d699f43959c

120300411000220 has 96 divisors (see below), whose sum is σ = 278368457020416. Its totient is φ = 43305870816000.

The previous prime is 120300411000167. The next prime is 120300411000247. The reversal of 120300411000220 is 22000114003021.

It is a junction number, because it is equal to n+sod(n) for n = 120300411000194 and 120300411000203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146397819 + ... + 147217261.

It is an arithmetic number, because the mean of its divisors is an integer number (2899671427296).

Almost surely, 2120300411000220 is an apocalyptic number.

120300411000220 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 120300411000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139184228510208).

120300411000220 is an abundant number, since it is smaller than the sum of its proper divisors (158068046020196).

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

120300411000220 is a wasteful number, since it uses less digits than its factorization.

120300411000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826171 (or 826169 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 120300411000220 its reverse (22000114003021), we get a palindrome (142300525003241).

The spelling of 120300411000220 in words is "one hundred twenty trillion, three hundred billion, four hundred eleven million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 6607 11110 13214 22220 26428 33035 66070 72677 132140 145354 290708 363385 667307 726770 819443 1334614 1453540 1638886 2669228 3277772 3336535 4097215 6673070 7340377 8194430 9013873 13346140 14680754 16388860 18027746 29361508 36055492 36701885 45069365 73403770 82763743 90138730 146807540 165527486 180277460 331054972 413818715 827637430 910401173 1655274860 1820802346 3641604692 4552005865 5414059901 9104011730 10828119802 18208023460 21656239604 27070299505 54140599010 59554658911 108281198020 119109317822 238218635644 297773294555 546820050001 595546589110 1093640100002 1191093178220 2187280200004 2734100250005 5468200500010 6015020550011 10936401000020 12030041100022 24060082200044 30075102750055 60150205500110 120300411000220