Search a number
-
+
120211313121400 = 23521513980507057
BaseRepresentation
bin11011010101010011100000…
…100111011101100001111000
3120202122002102002200211111011
4123111103200213131201320
5111224020232124341100
61103400152002243304
734214660255113324
oct3325234047354170
9522562362624434
10120211313121400
1135337371399a16
1211595911656534
13520cb554b6807
14219838984c984
15dd6e8adbabba
hex6d54e09dd878

120211313121400 has 48 divisors (see below), whose sum is σ = 281342238859440. Its totient is φ = 47766084672000.

The previous prime is 120211313121371. The next prime is 120211313121401. The reversal of 120211313121400 is 4121313112021.

120211313121400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1202113131214002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120211313121401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1990223329 + ... + 1990283728.

It is an arithmetic number, because the mean of its divisors is an integer number (5861296642905).

Almost surely, 2120211313121400 is an apocalyptic number.

120211313121400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120211313121400 is an abundant number, since it is smaller than the sum of its proper divisors (161130925738040).

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

120211313121400 is a wasteful number, since it uses less digits than its factorization.

120211313121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3980507224 (or 3980507215 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 120211313121400 its reverse (4121313112021), we get a palindrome (124332626233421).

The spelling of 120211313121400 in words is "one hundred twenty trillion, two hundred eleven billion, three hundred thirteen million, one hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 151 200 302 604 755 1208 1510 3020 3775 6040 7550 15100 30200 3980507057 7961014114 15922028228 19902535285 31844056456 39805070570 79610141140 99512676425 159220282280 199025352850 398050705700 601056565607 796101411400 1202113131214 2404226262428 3005282828035 4808452524856 6010565656070 12021131312140 15026414140175 24042262624280 30052828280350 60105656560700 120211313121400