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121131100020 = 22357288407381
BaseRepresentation
bin111000011001111111…
…0011110011101110100
3102120122211112110000210
41300303332132131310
53441034030200040
6131351415505420
711515512235050
oct1606376363564
9376584473023
10121131100020
114740a391327
121b586688270
13b565636918
145c1165cc60
15323e431480
hex1c33f9e774

121131100020 has 48 divisors (see below), whose sum is σ = 387619521408. Its totient is φ = 27687108480.

The previous prime is 121131099997. The next prime is 121131100039. The reversal of 121131100020 is 20001131121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 121131099969 and 121131100005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144203271 + ... + 144204110.

It is an arithmetic number, because the mean of its divisors is an integer number (8075406696).

Almost surely, 2121131100020 is an apocalyptic number.

121131100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121131100020 is an abundant number, since it is smaller than the sum of its proper divisors (266488421388).

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

121131100020 is a wasteful number, since it uses less digits than its factorization.

121131100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288407400 (or 288407398 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 121131100020 its reverse (20001131121), we get a palindrome (141132231141).

The spelling of 121131100020 in words is "one hundred twenty-one billion, one hundred thirty-one million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 288407381 576814762 865222143 1153629524 1442036905 1730444286 2018851667 2884073810 3460888572 4037703334 4326110715 5768147620 6056555001 8075406668 8652221430 10094258335 12113110002 17304442860 20188516670 24226220004 30282775005 40377033340 60565550010 121131100020