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1211122214320 = 24567225955637
BaseRepresentation
bin10001100111111100100…
…000100110010110110000
311021210010012010010202011
4101213330200212112300
5124320334241324240
62324214252132304
7153333510651604
oct21477440462660
94253105103664
101211122214320
114276a7a09357
12176882467094
138a292933105
144289372d504
152178636b6ea
hex119fc8265b0

1211122214320 has 40 divisors (see below), whose sum is σ = 2857886909424. Its totient is φ = 477218303232.

The previous prime is 1211122214299. The next prime is 1211122214321. The reversal of 1211122214320 is 234122211121.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1211122214291 and 1211122214300.

It is not an unprimeable number, because it can be changed into a prime (1211122214321) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 112972459 + ... + 112983178.

Almost surely, 21211122214320 is an apocalyptic number.

1211122214320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211122214320 is an abundant number, since it is smaller than the sum of its proper divisors (1646764695104).

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

1211122214320 is a wasteful number, since it uses less digits than its factorization.

1211122214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225955717 (or 225955711 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 1211122214320 its reverse (234122211121), we get a palindrome (1445244425441).

The spelling of 1211122214320 in words is "one trillion, two hundred eleven billion, one hundred twenty-two million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 225955637 451911274 903822548 1129778185 1807645096 2259556370 3615290192 4519112740 9038225480 15139027679 18076450960 30278055358 60556110716 75695138395 121112221432 151390276790 242224442864 302780553580 605561107160 1211122214320