Search a number
-
+
121400136720 = 2436519891231
BaseRepresentation
bin111000100010000000…
…0110001010000010000
3102121100120202221000000
41301010000301100100
53442111413333340
6131434230130000
711525260064442
oct1610400612020
9377316687000
10121400136720
1147538237605
121b6407b0900
13b5a92b3135
145c39292492
153257d75d30
hex1c44031410

121400136720 has 560 divisors, whose sum is σ = 450833644800. Its totient is φ = 30300272640.

The previous prime is 121400136691. The next prime is 121400136773. The reversal of 121400136720 is 27631004121.

121400136720 is a `hidden beast` number, since 121 + 400 + 136 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 98618505 + ... + 98619735.

It is an arithmetic number, because the mean of its divisors is an integer number (805060080).

Almost surely, 2121400136720 is an apocalyptic number.

121400136720 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 121400136720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225416822400).

121400136720 is an abundant number, since it is smaller than the sum of its proper divisors (329433508080).

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

121400136720 is a wasteful number, since it uses less digits than its factorization.

121400136720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 121400136720 in words is "one hundred twenty-one billion, four hundred million, one hundred thirty-six thousand, seven hundred twenty".