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1021212022000 = 24531932779551
BaseRepresentation
bin11101101110001001111…
…10101101010011110000
310121121221000120210100111
432313010332231103300
5113212420234201000
62101045513431104
7133531404651532
oct16670476552360
93547830523314
101021212022000
11364103621a95
12145b01a0b494
13753b8ab6951
14375d96ab852
151b86dae4cba
hexedc4fad4f0

1021212022000 has 160 divisors (see below), whose sum is σ = 2491306331904. Its totient is φ = 404858880000.

The previous prime is 1021212021979. The next prime is 1021212022007. The reversal of 1021212022000 is 2202121201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021212022007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106917225 + ... + 106926775.

Almost surely, 21021212022000 is an apocalyptic number.

1021212022000 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 1021212022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245653165952).

1021212022000 is an abundant number, since it is smaller than the sum of its proper divisors (1470094309904).

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

1021212022000 is a wasteful number, since it uses less digits than its factorization.

1021212022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10044 (or 10028 counting only the distinct ones).

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

Adding to 1021212022000 its reverse (2202121201), we get a palindrome (1023414143201).

The spelling of 1021212022000 in words is "one trillion, twenty-one billion, two hundred twelve million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 193 200 250 277 386 400 500 554 772 965 1000 1108 1385 1544 1930 2000 2216 2770 3088 3860 4432 4825 5540 6925 7720 9551 9650 11080 13850 15440 19102 19300 22160 24125 27700 34625 38204 38600 47755 48250 53461 55400 69250 76408 77200 95510 96500 106922 110800 138500 152816 191020 193000 213844 238775 267305 277000 382040 386000 427688 477550 534610 554000 764080 855376 955100 1069220 1193875 1336525 1843343 1910200 2138440 2387750 2645627 2673050 3686686 3820400 4276880 4775500 5291254 5346100 6682625 7373372 9216715 9551000 10582508 10692200 13228135 13365250 14746744 18433430 19102000 21165016 21384400 26456270 26730500 29493488 36866860 42330032 46083575 52912540 53461000 66140675 73733720 92167150 105825080 106922000 132281350 147467440 184334300 211650160 230417875 264562700 330703375 368668600 460835750 510606011 529125400 661406750 737337200 921671500 1021212022 1058250800 1322813500 1843343000 2042424044 2553030055 2645627000 3686686000 4084848088 5106060110 5291254000 8169696176 10212120220 12765150275 20424240440 25530300550 40848480880 51060601100 63825751375 102121202200 127651502750 204242404400 255303005500 510606011000 1021212022000