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1212101101000 = 235310112001001
BaseRepresentation
bin10001101000110110110…
…110110000010111001000
311021212122102001201211101
4101220312312300113020
5124324340340213000
62324455341111144
7153366665235616
oct21506666602710
94255572051741
101212101101000
1142805a521409
12176ab62584b4
138a3ba68a1ba
14429477426b6
15217e227be6a
hex11a36db05c8

1212101101000 has 64 divisors (see below), whose sum is σ = 2864399157360. Its totient is φ = 480040000000.

The previous prime is 1212101100949. The next prime is 1212101101019. The reversal of 1212101101000 is 1011012121.

It can be written as a sum of positive squares in 8 ways, for example, as 178011423396 + 1034089677604 = 421914^2 + 1016902^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5899501 + ... + 6101500.

Almost surely, 21212101101000 is an apocalyptic number.

1212101101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1212101101000 is an abundant number, since it is smaller than the sum of its proper divisors (1652298056360).

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

1212101101000 is a wasteful number, since it uses less digits than its factorization.

1212101101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12001123 (or 12001109 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1212101101000 its reverse (1011012121), we get a palindrome (1213112113121).

The spelling of 1212101101000 in words is "one trillion, two hundred twelve billion, one hundred one million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2525 4040 5050 10100 12625 20200 25250 50500 101000 12001001 24002002 48004004 60005005 96008008 120010010 240020020 300025025 480040040 600050050 1200100100 1212101101 1500125125 2400200200 2424202202 3000250250 4848404404 6000500500 6060505505 9696808808 12001001000 12121011010 24242022020 30302527525 48484044040 60605055050 121210110100 151512637625 242420220200 303025275250 606050550500 1212101101000