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1201120021120 = 27516211157773
BaseRepresentation
bin10001011110101000010…
…101010000101010000000
311020211022010020002010011
4101132220111100222000
5124134343211133440
62315441550314304
7152530605503515
oct21365025205200
94224263202104
101201120021120
11423434a36588
121749507b8994
138935a6585b6
14421c519930c
152139d1c89ea
hex117a8550a80

1201120021120 has 64 divisors (see below), whose sum is σ = 2873201424840. Its totient is φ = 480151203840.

The previous prime is 1201120021103. The next prime is 1201120021133. The reversal of 1201120021120 is 211200211021.

It can be written as a sum of positive squares in 4 ways, for example, as 1191258736704 + 9861284416 = 1091448^2 + 99304^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1201120021120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 458554 + ... + 1616326.

Almost surely, 21201120021120 is an apocalyptic number.

1201120021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201120021120 is an abundant number, since it is smaller than the sum of its proper divisors (1672081403720).

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

1201120021120 is a wasteful number, since it uses less digits than its factorization.

1201120021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159413 (or 1159401 counting only the distinct ones).

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

Adding to 1201120021120 its reverse (211200211021), we get a palindrome (1412320232141).

The spelling of 1201120021120 in words is "one trillion, two hundred one billion, one hundred twenty million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1621 3242 6484 8105 12968 16210 25936 32420 51872 64840 103744 129680 207488 259360 518720 1037440 1157773 2315546 4631092 5788865 9262184 11577730 18524368 23155460 37048736 46310920 74097472 92621840 148194944 185243680 370487360 740974720 1876750033 3753500066 7507000132 9383750165 15014000264 18767500330 30028000528 37535000660 60056001056 75070001320 120112002112 150140002640 240224004224 300280005280 600560010560 1201120021120