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1212403204221 = 3111910112721187
BaseRepresentation
bin10001101001001000110…
…111001100000001111101
311021220102110112011112120
4101221020313030001331
5124331000210013341
62324545332153153
7153410324125206
oct21511067140175
94256373464476
101212403204221
114281a5001aa0
12176b7b4687b9
138a4381433c1
14429759025ad
152180da54066
hex11a48dcc07d

1212403204221 has 96 divisors (see below), whose sum is σ = 1891159902720. Its totient is φ = 683221392000.

The previous prime is 1212403204213. The next prime is 1212403204223. The reversal of 1212403204221 is 1224023042121.

It is not a de Polignac number, because 1212403204221 - 23 = 1212403204213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1212403204191 and 1212403204200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212403204223) 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 95 ways as a sum of consecutive naturals, for example, 1021400590 + ... + 1021401776.

It is an arithmetic number, because the mean of its divisors is an integer number (19699582320).

Almost surely, 21212403204221 is an apocalyptic number.

1212403204221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1212403204221 is a deficient number, since it is larger than the sum of its proper divisors (678756698499).

1212403204221 is a wasteful number, since it uses less digits than its factorization.

1212403204221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1212403204221 its reverse (1224023042121), we get a palindrome (2436426246342).

The spelling of 1212403204221 in words is "one trillion, two hundred twelve billion, four hundred three million, two hundred four thousand, two hundred twenty-one".

Divisors: 1 3 11 19 33 57 101 127 209 303 381 627 1111 1187 1397 1919 2413 3333 3561 4191 5757 7239 12827 13057 16129 21109 22553 26543 38481 39171 48387 63327 67659 79629 119887 141097 150749 177419 243713 248083 306451 359661 423291 452247 532257 731139 744249 919353 1318757 1629029 1658239 2277853 2680843 2864231 3370961 3956271 4887087 4974717 6833559 8042529 8592693 10112883 15225649 17919319 19145123 25056383 30951551 31506541 45676947 53757957 57435369 75169149 92854653 94519623 167482139 210596353 289287331 340467061 363757337 502446417 631789059 867861993 1021401183 1091272011 1933657423 3182160641 4001330707 5800972269 9546481923 12003992121 21270231653 36739491037 63810694959 110218473111 404134401407 1212403204221