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121012212020 = 225721091132861
BaseRepresentation
bin111000010110011100…
…0111101000100110100
3102120100112211022100112
41300230320331010310
53440313111241040
6131331531402152
711512536554600
oct1605470750464
9376315738315
10121012212020
1147359269a87
121b5528b3358
13b546b0bbab
145bdd952500
153233c9a365
hex1c2ce3d134

121012212020 has 72 divisors (see below), whose sum is σ = 298327879080. Its totient is φ = 41109223680.

The previous prime is 121012212007. The next prime is 121012212023. The reversal of 121012212020 is 20212210121.

It can be written as a sum of positive squares in 4 ways, for example, as 5257120036 + 115755091984 = 72506^2 + 340228^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 121012211986 and 121012212004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121012212023) 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, 459611 + ... + 673250.

It is an arithmetic number, because the mean of its divisors is an integer number (4143442765).

Almost surely, 2121012212020 is an apocalyptic number.

121012212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121012212020 is an abundant number, since it is smaller than the sum of its proper divisors (177315667060).

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

121012212020 is a wasteful number, since it uses less digits than its factorization.

121012212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132993 (or 1132984 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121012212020 its reverse (20212210121), we get a palindrome (141224422141).

The spelling of 121012212020 in words is "one hundred twenty-one billion, twelve million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 109 140 196 218 245 436 490 545 763 980 1090 1526 2180 3052 3815 5341 7630 10682 15260 21364 26705 53410 106820 1132861 2265722 4531444 5664305 7930027 11328610 15860054 22657220 31720108 39650135 55510189 79300270 111020378 123481849 158600540 222040756 246963698 277550945 493927396 555101890 617409245 864372943 1110203780 1234818490 1728745886 2469636980 3457491772 4321864715 6050610601 8643729430 12101221202 17287458860 24202442404 30253053005 60506106010 121012212020