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1211212220020 = 2251119331875419
BaseRepresentation
bin10001101000000001110…
…111111100011001110100
311021210100110110220100121
4101220001313330121310
5124321030312020040
62324231225221324
7153335653000105
oct21500167743164
94253313426317
101211212220020
114277437a3a30
121768a8631844
138a2a848781a
14428a167c3ac
152178e1e9c4a
hex11a01dfc674

1211212220020 has 96 divisors (see below), whose sum is σ = 2929645555200. Its totient is φ = 415998633600.

The previous prime is 1211212219981. The next prime is 1211212220027. The reversal of 1211212220020 is 200222121121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1211212219976 and 1211212220003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211212220027) 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, 945871 + ... + 1821289.

It is an arithmetic number, because the mean of its divisors is an integer number (30517141200).

Almost surely, 21211212220020 is an apocalyptic number.

1211212220020 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 1211212220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464822777600).

1211212220020 is an abundant number, since it is smaller than the sum of its proper divisors (1718433335180).

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

1211212220020 is a wasteful number, since it uses less digits than its factorization.

1211212220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875789 (or 875787 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1211212220020 its reverse (200222121121), we get a palindrome (1411434341141).

The spelling of 1211212220020 in words is "one trillion, two hundred eleven billion, two hundred twelve million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 331 380 418 662 836 1045 1324 1655 2090 3310 3641 4180 6289 6620 7282 12578 14564 18205 25156 31445 36410 62890 69179 72820 125780 138358 276716 345895 691790 875419 1383580 1750838 3501676 4377095 8754190 9629609 16632961 17508380 19259218 33265922 38518436 48148045 66531844 83164805 96296090 166329610 182962571 192592180 289763689 332659220 365925142 579527378 731850284 914812855 1159054756 1448818445 1829625710 2897636890 3187400579 3659251420 5505510091 5795273780 6374801158 11011020182 12749602316 15937002895 22022040364 27527550455 31874005790 55055100910 60560611001 63748011580 110110201820 121121222002 242242444004 302803055005 605606110010 1211212220020