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1221220019970 = 2365757722109
BaseRepresentation
bin10001110001010110011…
…000101010111100000010
311022202011220220211000000
4101301112120222330002
5130002024311114340
62333004251140430
7154141653616326
oct21612630527402
94282156824000
101221220019970
11430a09956185
12178820144716
138b211976342
1443170871986
1521b77ae8d30
hex11c5662af02

1221220019970 has 112 divisors (see below), whose sum is σ = 3296370436920. Its totient is φ = 325600964352.

The previous prime is 1221220019969. The next prime is 1221220020029. The reversal of 1221220019970 is 799100221221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 322009716681 + 899210303289 = 567459^2 + 948267^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 55225276 + ... + 55247384.

Almost surely, 21221220019970 is an apocalyptic number.

1221220019970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221220019970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648185218460).

1221220019970 is an abundant number, since it is smaller than the sum of its proper divisors (2075150416950).

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

1221220019970 is an equidigital number, since it uses as much as digits as its factorization.

1221220019970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29711 (or 29696 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 1221220019970 in words is "one trillion, two hundred twenty-one billion, two hundred twenty million, nineteen thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2430 3645 7290 7577 15154 22109 22731 37885 44218 45462 66327 68193 75770 110545 113655 132654 136386 198981 204579 221090 227310 331635 340965 397962 409158 596943 613737 663270 681930 994905 1022895 1193886 1227474 1790829 1841211 1989810 2045790 2984715 3068685 3581658 3682422 5372487 5523633 5969430 6137370 8954145 9206055 10744974 11047266 16117461 17908290 18412110 26862435 27618165 32234922 53724870 55236330 80587305 161174610 167519893 335039786 502559679 837599465 1005119358 1507679037 1675198930 2512798395 3015358074 4523037111 5025596790 7538395185 9046074222 13569111333 15076790370 22615185555 27138222666 40707333999 45230371110 67845556665 81414667998 122122001997 135691113330 203536669995 244244003994 407073339990 610610009985 1221220019970