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1242121120 = 25543317929
BaseRepresentation
bin100101000001001…
…0100001110100000
310012120021021211221
41022002110032200
510020440333440
6323130544424
742531566242
oct11202241640
93176237757
101242121120
11588165a89
122a7b98114
1316a451616
14bad76092
15740aad4a
hex4a0943a0

1242121120 has 48 divisors (see below), whose sum is σ = 2941452360. Its totient is φ = 495673344.

The previous prime is 1242121063. The next prime is 1242121147. The reversal of 1242121120 is 211212421.

It can be written as a sum of positive squares in 4 ways, for example, as 775733904 + 466387216 = 27852^2 + 21596^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1242121094 and 1242121103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60316 + ... + 78244.

Almost surely, 21242121120 is an apocalyptic number.

1242121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1242121120 is an abundant number, since it is smaller than the sum of its proper divisors (1699331240).

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

1242121120 is a wasteful number, since it uses less digits than its factorization.

1242121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18377 (or 18369 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1242121120 is about 35243.7387347029. The cubic root of 1242121120 is about 1074.9493020980.

Adding to 1242121120 its reverse (211212421), we get a palindrome (1453333541).

The spelling of 1242121120 in words is "one billion, two hundred forty-two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 433 866 1732 2165 3464 4330 6928 8660 13856 17320 17929 34640 35858 69280 71716 89645 143432 179290 286864 358580 573728 717160 1434320 2868640 7763257 15526514 31053028 38816285 62106056 77632570 124212112 155265140 248424224 310530280 621060560 1242121120