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2212111011012 = 2237532137232513
BaseRepresentation
bin100000001100001100000…
…101110100110011000100
321211110211211010122021220
4200030030011310303010
5242220400404323022
64412121344040340
7315551113231050
oct40141405646304
97743754118256
102212111011012
11783172aa58a1
122b887b6030b0
131307a7a15646
14790d1208c60
153c81e7ee85c
hex2030c174cc4

2212111011012 has 96 divisors (see below), whose sum is σ = 6013102217472. Its totient is φ = 619813748736.

The previous prime is 2212111011001. The next prime is 2212111011017. The reversal of 2212111011012 is 2101101112122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2212111010982 and 2212111011000.

It is not an unprimeable number, because it can be changed into a prime (2212111011017) 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, 9397668 + ... + 9630180.

It is an arithmetic number, because the mean of its divisors is an integer number (62636481432).

Almost surely, 22212111011012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212111011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006551108736).

2212111011012 is an abundant number, since it is smaller than the sum of its proper divisors (3800991206460).

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

2212111011012 is a wasteful number, since it uses less digits than its factorization.

2212111011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234717 (or 234715 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2212111011012 its reverse (2101101112122), we get a palindrome (4313212123134).

The spelling of 2212111011012 in words is "two trillion, two hundred twelve billion, one hundred eleven million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 636 742 1113 1484 2137 2226 4274 4452 6411 8548 12822 14959 25644 29918 44877 59836 89754 113261 179508 226522 232513 339783 453044 465026 679566 697539 792827 930052 1359132 1395078 1585654 1627591 2378481 2790156 3171308 3255182 4756962 4882773 6510364 9513924 9765546 12323189 19531092 24646378 36969567 49292756 73939134 86262323 147878268 172524646 258786969 345049292 496880281 517573938 993760562 1035147876 1490640843 1987521124 2981281686 3478161967 5962563372 6956323934 10434485901 13912647868 20868971802 26334654893 41737943604 52669309786 79003964679 105338619572 158007929358 184342584251 316015858716 368685168502 553027752753 737370337004 1106055505506 2212111011012