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120220010001120 = 2535250458354169
BaseRepresentation
bin11011010101011011100110…
…111111011011001011100000
3120202122220212012102002122110
4123111123212333123023200
5111224141040030013440
61103404150554435320
734215415630300641
oct3325334677331340
9522586765362573
10120220010001120
1135340024575417
121159753a132b40
1352109102159a3
1421989728bb6c8
15dd72e966e080
hex6d56e6fdb2e0

120220010001120 has 48 divisors (see below), whose sum is σ = 378693031505040. Its totient is φ = 32058669333504.

The previous prime is 120220010001029. The next prime is 120220010001127. The reversal of 120220010001120 is 21100010022021.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120220010001096 and 120220010001105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120220010001127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125229176605 + ... + 125229177564.

It is an arithmetic number, because the mean of its divisors is an integer number (7889438156355).

Almost surely, 2120220010001120 is an apocalyptic number.

120220010001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120220010001120 is an abundant number, since it is smaller than the sum of its proper divisors (258473021503920).

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

120220010001120 is a wasteful number, since it uses less digits than its factorization.

120220010001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250458354187 (or 250458354179 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120220010001120 its reverse (21100010022021), we get a palindrome (141320020023141).

The spelling of 120220010001120 in words is "one hundred twenty trillion, two hundred twenty billion, ten million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 250458354169 500916708338 751375062507 1001833416676 1252291770845 1502750125014 2003666833352 2504583541690 3005500250028 3756875312535 4007333666704 5009167083380 6011000500056 7513750625070 8014667333408 10018334166760 12022001000112 15027501250140 20036668333520 24044002000224 30055002500280 40073336667040 60110005000560 120220010001120