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121002222012 = 223711360121211
BaseRepresentation
bin111000010110001001…
…0110110000110111100
3102120022212000202122020
41300230102312012330
53440303032101022
6131330533320140
711512355626320
oct1605422660674
9376285022566
10121002222012
1147353666381
121b54b496050
13b544a21a49
145bdc4b1980
153232e7535c
hex1c2c4b61bc

121002222012 has 96 divisors (see below), whose sum is σ = 326085118464. Its totient is φ = 34207488000.

The previous prime is 121002221999. The next prime is 121002222013. The reversal of 121002222012 is 210222200121.

It is a junction number, because it is equal to n+sod(n) for n = 121002221982 and 121002222000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121002222013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5694087 + ... + 5715297.

It is an arithmetic number, because the mean of its divisors is an integer number (3396719984).

Almost surely, 2121002222012 is an apocalyptic number.

121002222012 is a gapful number since it is divisible by the number (12) 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 121002222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163042559232).

121002222012 is an abundant number, since it is smaller than the sum of its proper divisors (205082896452).

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

121002222012 is a wasteful number, since it uses less digits than its factorization.

121002222012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21939 (or 21937 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 121002222012 its reverse (210222200121), we get a palindrome (331224422133).

The spelling of 121002222012 in words is "one hundred twenty-one billion, two million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 113 226 339 452 601 678 791 1202 1356 1582 1803 2373 2404 3164 3606 4207 4746 7212 8414 9492 12621 16828 21211 25242 42422 50484 63633 67913 84844 127266 135826 148477 203739 254532 271652 296954 407478 445431 475391 593908 814956 890862 950782 1426173 1781724 1901564 2396843 2852346 4793686 5704692 7190529 9587372 12747811 14381058 16777901 25495622 28762116 33555802 38243433 50333703 50991244 67111604 76486866 89234677 100667406 152973732 178469354 201334812 267704031 356938708 535408062 1070816124 1440502643 2881005286 4321507929 5762010572 8643015858 10083518501 17286031716 20167037002 30250555503 40334074004 60501111006 121002222012