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1212120011968 = 262910317533617
BaseRepresentation
bin10001101000110111111…
…110111001010011000000
311021212200201122111210121
4101220313332321103000
5124324410210340333
62324501254310024
7153400315050625
oct21506776712300
94255621574717
101212120011968
1142806a168508
12176b00658314
138a3c157ba18
144294a06634c
15217e3c6532d
hex11a37fb94c0

1212120011968 has 112 divisors (see below), whose sum is σ = 2514527945280. Its totient is φ = 578989522944.

The previous prime is 1212120011917. The next prime is 1212120011969. The reversal of 1212120011968 is 8691100212121.

It is not an unprimeable number, because it can be changed into a prime (1212120011969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335115696 + ... + 335119312.

Almost surely, 21212120011968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212120011968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257263972640).

1212120011968 is an abundant number, since it is smaller than the sum of its proper divisors (1302407933312).

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

1212120011968 is a wasteful number, since it uses less digits than its factorization.

1212120011968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5514 (or 5504 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 34.

The spelling of 1212120011968 in words is "one trillion, two hundred twelve billion, one hundred twenty million, eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 103 116 206 232 412 464 824 928 1648 1753 1856 2987 3296 3506 3617 5974 6592 7012 7234 11948 14024 14468 23896 28048 28936 47792 50837 56096 57872 95584 101674 104893 112192 115744 180559 191168 203348 209786 231488 361118 372551 406696 419572 722236 745102 813392 839144 1444472 1490204 1626784 1678288 2888944 2980408 3253568 3356576 5236211 5777888 5960816 6340601 6713152 10472422 10803979 11555776 11921632 12681202 20944844 21607958 23843264 25362404 41889688 43215916 50724808 83779376 86431832 101449616 167558752 172863664 183877429 202899232 335117504 345727328 367754858 405798464 653081903 691454656 735509716 1306163806 1471019432 2612327612 2942038864 5224655224 5884077728 10449310448 11768155456 18939375187 20898620896 37878750374 41797241792 75757500748 151515001496 303030002992 606060005984 1212120011968