Search a number
-
+
21121000020120 = 2335711134163491
BaseRepresentation
bin1001100110101100111011…
…01101000001100010011000
32202210010222210202211100110
410303112131231001202120
510232021302001120440
6112530504203004320
74306641032666610
oct463263555014230
982703883684313
1021121000020120
116803402984a60
1224514842096a0
13ba29179b0000
14530394761a40
1526961428a080
hex13359db41898

21121000020120 has 1280 divisors, whose sum is σ = 86281369620480. Its totient is φ = 4018126694400.

The previous prime is 21121000020103. The next prime is 21121000020277. The reversal of 21121000020120 is 2102000012112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21121000020096 and 21121000020105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 43016293075 + ... + 43016293565.

It is an arithmetic number, because the mean of its divisors is an integer number (67407320016).

Almost surely, 221121000020120 is an apocalyptic number.

21121000020120 is a gapful number since it is divisible by the number (20) 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 21121000020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43140684810240).

21121000020120 is an abundant number, since it is smaller than the sum of its proper divisors (65160369600360).

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

21121000020120 is a wasteful number, since it uses less digits than its factorization.

21121000020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21121000020120 its reverse (2102000012112), we get a palindrome (23223000032232).

The spelling of 21121000020120 in words is "twenty-one trillion, one hundred twenty-one billion, twenty thousand, one hundred twenty".