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121464112021700 = 22527353673730399
BaseRepresentation
bin11011100111100010010001…
…010000000000000011000100
3120221001212002210211222111112
4123213202101100000003010
5111410032000134143300
61110155502010424152
734404330633060320
oct3347422120000304
9527055083758445
10121464112021700
113577a7057452a8
1211758685432058
1352a102a674a56
1421dcc742c2980
15e09861019e35
hex6e78914000c4

121464112021700 has 144 divisors (see below), whose sum is σ = 302533619942400. Its totient is φ = 41465103482880.

The previous prime is 121464112021663. The next prime is 121464112021739. The reversal of 121464112021700 is 7120211464121.

It is a super-2 number, since 2×1214641120217002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165933101 + ... + 166663499.

Almost surely, 2121464112021700 is an apocalyptic number.

121464112021700 is a gapful number since it is divisible by the number (10) 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 121464112021700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151266809971200).

121464112021700 is an abundant number, since it is smaller than the sum of its proper divisors (181069507920700).

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

121464112021700 is a wasteful number, since it uses less digits than its factorization.

121464112021700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731446 (or 731439 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

Adding to 121464112021700 its reverse (7120211464121), we get a palindrome (128584323485821).

The spelling of 121464112021700 in words is "one hundred twenty-one trillion, four hundred sixty-four billion, one hundred twelve million, twenty-one thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 353 673 700 706 1346 1412 1765 2471 2692 3365 3530 4711 4942 6730 7060 8825 9422 9884 12355 13460 16825 17650 18844 23555 24710 33650 35300 47110 49420 61775 67300 94220 117775 123550 235550 237569 247100 471100 475138 730399 950276 1187845 1460798 1662983 2375690 2921596 3325966 3651995 4751380 5112793 5939225 6651932 7303990 8314915 10225586 11878450 14607980 16629830 18259975 20451172 23756900 25563965 33259660 36519950 41574575 51127930 73039900 83149150 102255860 127819825 166298300 255639650 257830847 491558527 511279300 515661694 983117054 1031323388 1289154235 1804815929 1966234108 2457792635 2578308470 3440909689 3609631858 4915585270 5156616940 6445771175 6881819378 7219263716 9024079645 9831170540 12288963175 12891542350 13763638756 17204548445 18048159290 24577926350 25783084700 34409096890 36096318580 45120398225 49155852700 68818193780 86022742225 90240796450 172045484450 173520160031 180481592900 344090968900 347040320062 694080640124 867600800155 1214641120217 1735201600310 2429282240434 3470403200620 4338004000775 4858564480868 6073205601085 8676008001550 12146411202170 17352016003100 24292822404340 30366028005425 60732056010850 121464112021700