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121412400140 = 22537823199357
BaseRepresentation
bin111000100010010111…
…1100011010000001100
3102121101102211222020202
41301010233203100030
53442123033301030
6131435345033032
711525466242033
oct1610457432014
9377342758222
10121412400140
1147544153269
121b644925778
13b5ab9b7cb5
145c3ab6571a
153258e99745
hex1c44be340c

121412400140 has 48 divisors (see below), whose sum is σ = 262176503232. Its totient is φ = 47194742016.

The previous prime is 121412400097. The next prime is 121412400143. The reversal of 121412400140 is 41004214121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (121412400143) 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, 509342 + ... + 708698.

It is an arithmetic number, because the mean of its divisors is an integer number (5462010484).

Almost surely, 2121412400140 is an apocalyptic number.

121412400140 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 121412400140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131088251616).

121412400140 is an abundant number, since it is smaller than the sum of its proper divisors (140764103092).

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

121412400140 is a wasteful number, since it uses less digits than its factorization.

121412400140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200226 (or 200224 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 121412400140 its reverse (41004214121), we get a palindrome (162416614261).

The spelling of 121412400140 in words is "one hundred twenty-one billion, four hundred twelve million, four hundred thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 823 1646 3292 4115 8230 16460 30451 60902 121804 152255 199357 304510 398714 609020 797428 996785 1993570 3987140 7376209 14752418 29504836 36881045 73762090 147524180 164070811 328141622 656283244 820354055 1640708110 3281416220 6070620007 12141240014 24282480028 30353100035 60706200070 121412400140