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121201102222020 = 223253718198363697
BaseRepresentation
bin11011100011101101010100…
…101001001111001011000100
3120220010201020012111211021200
4123203231110221033023010
5111341224324132101040
61105435003453542500
734346330204466402
oct3343552451171304
9526121205454250
10121201102222020
113568910a552a97
1211715703aa4a30
1352822a4192852
1421d0243b14472
15e02abaeb5630
hex6e3b54a4f2c4

121201102222020 has 72 divisors (see below), whose sum is σ = 377579650006104. Its totient is φ = 31446772466688.

The previous prime is 121201102221977. The next prime is 121201102222021. The reversal of 121201102222020 is 20222201102121.

It is a happy number.

121201102222020 is a `hidden beast` number, since 12 + 120 + 110 + 222 + 202 + 0 = 666.

121201102222020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 48951068222016 + 72250034000004 = 6996504^2 + 8500002^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121201102221984 and 121201102222002.

It is not an unprimeable number, because it can be changed into a prime (121201102222021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9099175189 + ... + 9099188508.

Almost surely, 2121201102222020 is an apocalyptic number.

121201102222020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121201102222020 is an abundant number, since it is smaller than the sum of its proper divisors (256378547784084).

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

121201102222020 is a wasteful number, since it uses less digits than its factorization.

121201102222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18198363749 (or 18198363744 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121201102222020 its reverse (20222201102121), we get a palindrome (141423303324141).

The spelling of 121201102222020 in words is "one hundred twenty-one trillion, two hundred one billion, one hundred two million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 18198363697 36396727394 54595091091 72793454788 90991818485 109190182182 163785273273 181983636970 218380364364 272975455455 327570546546 363967273940 545950910910 655141093092 673339456789 818926366365 1091901821820 1346678913578 1637852732730 2020018370367 2693357827156 3275705465460 3366697283945 4040036740734 6060055111101 6733394567890 8080073481468 10100091851835 12120110222202 13466789135780 20200183703670 24240220444404 30300275555505 40400367407340 60600551111010 121201102222020