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1001212112120 = 235116733962419
BaseRepresentation
bin11101001000111001110…
…01000110110011111000
310112201022012020002201112
432210130321012303320
5112400440300041440
62043541150135452
7132222653351423
oct16443471066370
93481265202645
101001212112120
11356680154750
1214205bab1588
137354c44104c
143665d40a9ba
151b09cd95965
hexe91ce46cf8

1001212112120 has 64 divisors (see below), whose sum is σ = 2494200124800. Its totient is φ = 358643134080.

The previous prime is 1001212112119. The next prime is 1001212112171. The reversal of 1001212112120 is 212112121001.

It is a junction number, because it is equal to n+sod(n) for n = 1001212112095 and 1001212112104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16951730 + ... + 17010689.

It is an arithmetic number, because the mean of its divisors is an integer number (38971876950).

Almost surely, 21001212112120 is an apocalyptic number.

1001212112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001212112120 is an abundant number, since it is smaller than the sum of its proper divisors (1492988012680).

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

1001212112120 is a wasteful number, since it uses less digits than its factorization.

1001212112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33962508 (or 33962504 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1001212112120 its reverse (212112121001), we get a palindrome (1213324233121).

The spelling of 1001212112120 in words is "one trillion, one billion, two hundred twelve million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 88 110 134 220 268 335 440 536 670 737 1340 1474 2680 2948 3685 5896 7370 14740 29480 33962419 67924838 135849676 169812095 271699352 339624190 373586609 679248380 747173218 1358496760 1494346436 1867933045 2275482073 2988692872 3735866090 4550964146 7471732180 9101928292 11377410365 14943464360 18203856584 22754820730 25030302803 45509641460 50060605606 91019282920 100121211212 125151514015 200242422424 250303028030 500606056060 1001212112120