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121407009940 = 2251731235569
BaseRepresentation
bin111000100010001101…
…0111111010010010100
3102121101001201010021201
41301010122333102110
53442120143304230
6131435033322244
711525402362126
oct1610432772224
9377331633251
10121407009940
1147541101557
121b642b66384
13b5aa84b728
145c3a161216
1532587825ca
hex1c446bf494

121407009940 has 48 divisors (see below), whose sum is σ = 270886366800. Its totient is φ = 45706131456.

The previous prime is 121407009931. The next prime is 121407009947. The reversal of 121407009940 is 49900704121.

It can be written as a sum of positive squares in 8 ways, for example, as 2145912976 + 119261096964 = 46324^2 + 345342^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 121407009940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121407009947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 519525 + ... + 716044.

It is an arithmetic number, because the mean of its divisors is an integer number (5643465975).

Almost surely, 2121407009940 is an apocalyptic number.

121407009940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121407009940 is an abundant number, since it is smaller than the sum of its proper divisors (149479356860).

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

121407009940 is a wasteful number, since it uses less digits than its factorization.

121407009940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235629 (or 1235593 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 121407009940 in words is "one hundred twenty-one billion, four hundred seven million, nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 4913 5780 9826 19652 24565 49130 98260 1235569 2471138 4942276 6177845 12355690 21004673 24711380 42009346 84018692 105023365 210046730 357079441 420093460 714158882 1428317764 1785397205 3570794410 6070350497 7141588820 12140700994 24281401988 30351752485 60703504970 121407009940