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1001212120000 = 2654127197089
BaseRepresentation
bin11101001000111001110…
…01001000101111000000
310112201022012020111112101
432210130321020233000
5112400440300320000
62043541150240144
7132222653413411
oct16443471105700
93481265214471
101001212120000
1135668015a664
1214205bab6054
137354c444801
143665d40d808
151b09cd97e6a
hexe91ce48bc0

1001212120000 has 140 divisors (see below), whose sum is σ = 2502242026240. Its totient is φ = 397329408000.

The previous prime is 1001212119989. The next prime is 1001212120049. The reversal of 1001212120000 is 212121001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4981456 + ... + 5178544.

Almost surely, 21001212120000 is an apocalyptic number.

1001212120000 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 1001212120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251121013120).

1001212120000 is an abundant number, since it is smaller than the sum of its proper divisors (1501029906240).

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

1001212120000 is an equidigital number, since it uses as much as digits as its factorization.

1001212120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197248 (or 197223 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1001212120000 its reverse (212121001), we get a palindrome (1001424241001).

The spelling of 1001212120000 in words is "one trillion, one billion, two hundred twelve million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 127 160 200 250 254 320 400 500 508 625 635 800 1000 1016 1250 1270 1600 2000 2032 2500 2540 3175 4000 4064 5000 5080 6350 8000 8128 10000 10160 12700 15875 20000 20320 25400 31750 40000 40640 50800 63500 79375 101600 127000 158750 197089 203200 254000 317500 394178 508000 635000 788356 985445 1016000 1270000 1576712 1970890 2540000 3153424 3941780 4927225 5080000 6306848 7883560 9854450 12613696 15767120 19708900 24636125 25030303 31534240 39417800 49272250 50060606 63068480 78835600 98544500 100121212 123180625 125151515 157671200 197089000 200242424 246361250 250303030 315342400 394178000 400484848 492722500 500606060 625757575 788356000 800969696 985445000 1001212120 1251515150 1576712000 1601939392 1970890000 2002424240 2503030300 3128787875 3941780000 4004848480 5006060600 6257575750 7883560000 8009696960 10012121200 12515151500 15643939375 20024242400 25030303000 31287878750 40048484800 50060606000 62575757500 100121212000 125151515000 200242424000 250303030000 500606060000 1001212120000