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1001212211220 = 2235136203206933
BaseRepresentation
bin11101001000111001110…
…01011111000000010100
310112201022012102010122220
432210130321133000110
5112400440311224340
62043541152222340
7132222654243354
oct16443471370024
93481265363586
101001212211220
11356680212151
1214205bb3a9b0
137354c4771a0
143665d434b64
151b09cdb4ed0
hexe91ce5f014

1001212211220 has 96 divisors (see below), whose sum is σ = 3019541196672. Its totient is φ = 246411314688.

The previous prime is 1001212211191. The next prime is 1001212211221. The reversal of 1001212211220 is 221122121001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1001212211220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001212211221) 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 31 ways as a sum of consecutive naturals, for example, 4734874 + ... + 4941806.

It is an arithmetic number, because the mean of its divisors is an integer number (31453554132).

Almost surely, 21001212211220 is an apocalyptic number.

1001212211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001212211220 is an abundant number, since it is smaller than the sum of its proper divisors (2018328985452).

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

1001212211220 is a wasteful number, since it uses less digits than its factorization.

1001212211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213161 (or 213159 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1001212211220 its reverse (221122121001), we get a palindrome (1222334332221).

The spelling of 1001212211220 in words is "one trillion, one billion, two hundred twelve million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 6203 12406 18609 24812 31015 37218 62030 74436 80639 93045 124060 161278 186090 206933 241917 322556 372180 403195 413866 483834 620799 806390 827732 967668 1034665 1209585 1241598 1612780 2069330 2419170 2483196 2690129 3103995 4138660 4838340 5380258 6207990 8070387 10760516 12415980 13450645 16140774 26901290 32281548 40351935 53802580 80703870 161407740 1283605399 2567210798 3850816197 5134421596 6418026995 7701632394 12836053990 15403264788 16686870187 19254080985 25672107980 33373740374 38508161970 50060610561 66747480748 77016323940 83434350935 100121221122 166868701870 200242442244 250303052805 333737403740 500606105610 1001212211220