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1201010220120 = 233546721431303
BaseRepresentation
bin10001011110100001110…
…010011001110001011000
311020211000110121121110110
4101132201302121301120
5124134132104020440
62315423025044320
7152525103301134
oct21364162316130
94224013547413
101201010220120
11423388a60457
1217491ba866a0
13893409929a9
14421b47763c4
152139373a080
hex117a1c99c58

1201010220120 has 64 divisors (see below), whose sum is σ = 3610746097920. Its totient is φ = 319583575424.

The previous prime is 1201010220103. The next prime is 1201010220127. The reversal of 1201010220120 is 210220101021.

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 = 1201010220096 and 1201010220105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201010220127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10659612 + ... + 10771691.

It is an arithmetic number, because the mean of its divisors is an integer number (56417907780).

Almost surely, 21201010220120 is an apocalyptic number.

1201010220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201010220120 is an abundant number, since it is smaller than the sum of its proper divisors (2409735877800).

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

1201010220120 is a wasteful number, since it uses less digits than its factorization.

1201010220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21431784 (or 21431780 counting only the distinct ones).

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

Adding to 1201010220120 its reverse (210220101021), we get a palindrome (1411230321141).

The spelling of 1201010220120 in words is "one trillion, two hundred one billion, ten million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 467 934 1401 1868 2335 2802 3736 4670 5604 7005 9340 11208 14010 18680 28020 56040 21431303 42862606 64293909 85725212 107156515 128587818 171450424 214313030 257175636 321469545 428626060 514351272 642939090 857252120 1285878180 2571756360 10008418501 20016837002 30025255503 40033674004 50042092505 60050511006 80067348008 100084185010 120101022012 150126277515 200168370020 240202044024 300252555030 400336740040 600505110060 1201010220120