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1212200012020 = 2251753425315817
BaseRepresentation
bin10001101000111100110…
…000000100100011110100
311021212220022011221020111
4101220330300010203310
5124330041200341040
62324513233112404
7153402306044134
oct21507460044364
94255808157214
101212200012020
11428100339758
12176b233b8704
138a40500c12a
144295692cac4
15217eacb8dea
hex11a3cc048f4

1212200012020 has 96 divisors (see below), whose sum is σ = 2747037652128. Its totient is φ = 447613550592.

The previous prime is 1212200011993. The next prime is 1212200012081. The reversal of 1212200012020 is 202100022121.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 50680815376 + 1161519196644 = 225124^2 + 1077738^2 .

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 76631152 + ... + 76646968.

It is an arithmetic number, because the mean of its divisors is an integer number (28614975543).

Almost surely, 21212200012020 is an apocalyptic number.

1212200012020 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 1212200012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373518826064).

1212200012020 is an abundant number, since it is smaller than the sum of its proper divisors (1534837640108).

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

1212200012020 is a wasteful number, since it uses less digits than its factorization.

1212200012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20149 (or 20147 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1212200012020 its reverse (202100022121), we get a palindrome (1414300034141).

The spelling of 1212200012020 in words is "one trillion, two hundred twelve billion, two hundred million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 340 530 901 1060 1802 3604 4253 4505 8506 9010 15817 17012 18020 21265 31634 42530 63268 72301 79085 85060 144602 158170 225409 268889 289204 316340 361505 450818 537778 723010 838301 901636 1075556 1127045 1344445 1446020 1676602 2254090 2688890 3353204 3831953 4191505 4508180 5377780 7663906 8383010 14251117 15327812 16766020 19159765 28502234 38319530 57004468 67269701 71255585 76639060 134539402 142511170 269078804 285022340 336348505 672697010 1143584917 1345394020 2287169834 3565294153 4574339668 5717924585 7130588306 11435849170 14261176612 17826470765 22871698340 35652941530 60610000601 71305883060 121220001202 242440002404 303050003005 606100006010 1212200012020