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1021210121120 = 25572130256393
BaseRepresentation
bin11101101110001001101…
…11011101001110100000
310121121220220000012211112
432313010313131032200
5113212414242333440
62101045405002452
7133531352543600
oct16670467351640
93547826005745
101021210121120
11364102543912
12145b01253428
13753b859c677
14375d9334c00
151b86d86b965
hexedc4ddd3a0

1021210121120 has 72 divisors (see below), whose sum is σ = 2806504265124. Its totient is φ = 350129181696.

The previous prime is 1021210121111. The next prime is 1021210121123. The reversal of 1021210121120 is 211210121201.

It can be written as a sum of positive squares in 2 ways, for example, as 951803164816 + 69406956304 = 975604^2 + 263452^2 .

It is a super-2 number, since 2×10212101211202 (a number of 25 digits) contains 22 as substring.

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 = 1021210121095 and 1021210121104.

It is not an unprimeable number, because it can be changed into a prime (1021210121123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65120357 + ... + 65136036.

Almost surely, 21021210121120 is an apocalyptic number.

1021210121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021210121120 is an abundant number, since it is smaller than the sum of its proper divisors (1785294144004).

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

1021210121120 is a wasteful number, since it uses less digits than its factorization.

1021210121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130256422 (or 130256407 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1021210121120 its reverse (211210121201), we get a palindrome (1232420242321).

The spelling of 1021210121120 in words is "one trillion, twenty-one billion, two hundred ten million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 130256393 260512786 521025572 651281965 911794751 1042051144 1302563930 1823589502 2084102288 2605127860 3647179004 4168204576 4558973755 5210255720 6382563257 7294358008 9117947510 10420511440 12765126514 14588716016 18235895020 20841022880 25530253028 29177432032 31912816285 36471790040 51060506056 63825632570 72943580080 102121012112 127651265140 145887160160 204242024224 255302530280 510605060560 1021210121120