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121202202101000 = 2353130193160801
BaseRepresentation
bin11011100011101110010110…
…001100111100010100001000
3120220010211001212010110121012
4123203232112030330110020
5111341234102214213000
61105435304544103052
734346366361346556
oct3343562614742410
9526124055113535
10121202202101000
1135689624395389
1211715970304a88
13528241b000407
1421d0309c20bd6
15e02b32825735
hex6e3b9633c508

121202202101000 has 64 divisors (see below), whose sum is σ = 283831152237360. Its totient is φ = 48443616000000.

The previous prime is 121202202100961. The next prime is 121202202101011. The reversal of 121202202101000 is 101202202121.

It can be written as a sum of positive squares in 8 ways, for example, as 3657097821316 + 117545104279684 = 1912354^2 + 10841822^2 .

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, 45279401 + ... + 47881400.

Almost surely, 2121202202101000 is an apocalyptic number.

121202202101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121202202101000 is an abundant number, since it is smaller than the sum of its proper divisors (162628950136360).

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

121202202101000 is a wasteful number, since it uses less digits than its factorization.

121202202101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93162123 (or 93162109 counting only the distinct ones).

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

Adding to 121202202101000 its reverse (101202202121), we get a palindrome (121303404303121).

It can be divided in two parts, 121202 and 202101000, that added together give a palindrome (202222202).

The spelling of 121202202101000 in words is "one hundred twenty-one trillion, two hundred two billion, two hundred two million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1301 2602 5204 6505 10408 13010 26020 32525 52040 65050 130100 162625 260200 325250 650500 1301000 93160801 186321602 372643204 465804005 745286408 931608010 1863216020 2329020025 3726432040 4658040050 9316080100 11645100125 18632160200 23290200250 46580400500 93160801000 121202202101 242404404202 484808808404 606011010505 969617616808 1212022021010 2424044042020 3030055052525 4848088084040 6060110105050 12120220210100 15150275262625 24240440420200 30300550525250 60601101050500 121202202101000