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121144152 = 233191491783
BaseRepresentation
bin1110011100010…
…00001101011000
322102221202112110
413032020031120
5222003103102
620004312320
73000464643
oct716101530
9272852473
10121144152
1162423438
12346a26a0
131c13793c
1412136a5a
15a97e86c
hex7388358

121144152 has 64 divisors (see below), whose sum is σ = 321120000. Its totient is φ = 37977984.

The previous prime is 121144139. The next prime is 121144189. The reversal of 121144152 is 251441121.

It is a super-3 number, since 3×1211441523 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67053 + ... + 68835.

It is an arithmetic number, because the mean of its divisors is an integer number (5017500).

Almost surely, 2121144152 is an apocalyptic number.

121144152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121144152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160560000).

121144152 is an abundant number, since it is smaller than the sum of its proper divisors (199975848).

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

121144152 is a wasteful number, since it uses less digits than its factorization.

121144152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1956 counting only the distinct ones).

The product of its digits is 320, while the sum is 21.

The square root of 121144152 is about 11006.5504132766. The cubic root of 121144152 is about 494.8050819137.

Adding to 121144152 its reverse (251441121), we get a palindrome (372585273).

The spelling of 121144152 in words is "one hundred twenty-one million, one hundred forty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 149 152 228 298 447 456 596 894 1192 1783 1788 2831 3566 3576 5349 5662 7132 8493 10698 11324 14264 16986 21396 22648 33877 33972 42792 67754 67944 101631 135508 203262 265667 271016 406524 531334 797001 813048 1062668 1594002 2125336 3188004 5047673 6376008 10095346 15143019 20190692 30286038 40381384 60572076 121144152