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1201021210120 = 235971033299653
BaseRepresentation
bin10001011110100010011…
…100010100111000001000
311020211001020021221220111
4101132202130110320020
5124134142412210440
62315424100404104
7152525265563014
oct21364234247010
94224036257814
101201021210120
114233941873a6
121749236a6634
1389343040054
14421b5dd7544
15213946ab4ea
hex117a2714e08

1201021210120 has 64 divisors (see below), whose sum is σ = 2732808521520. Its totient is φ = 474993967104.

The previous prime is 1201021210093. The next prime is 1201021210153. The reversal of 1201021210120 is 210121201021.

It can be written as a sum of positive squares in 8 ways, for example, as 905317996324 + 295703213796 = 951482^2 + 543786^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1201021210120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3858214 + ... + 4157866.

Almost surely, 21201021210120 is an apocalyptic number.

1201021210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201021210120 is an abundant number, since it is smaller than the sum of its proper divisors (1531787311400).

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

1201021210120 is a wasteful number, since it uses less digits than its factorization.

1201021210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300794 (or 300790 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1201021210120 its reverse (210121201021), we get a palindrome (1411142411141).

Subtracting from 1201021210120 its reverse (210121201021), we obtain a palindrome (990900009099).

It can be divided in two parts, 1201021 and 210120, that added together give a palindrome (1411141).

The spelling of 1201021210120 in words is "one trillion, two hundred one billion, twenty-one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 97 194 388 485 776 970 1033 1940 2066 3880 4132 5165 8264 10330 20660 41320 100201 200402 299653 400804 501005 599306 801608 1002010 1198612 1498265 2004020 2397224 2996530 4008040 5993060 11986120 29066341 58132682 116265364 145331705 232530728 290663410 309541549 581326820 619083098 1162653640 1238166196 1547707745 2476332392 3095415490 6190830980 12381661960 30025530253 60051060506 120102121012 150127651265 240204242024 300255302530 600510605060 1201021210120