Search a number
-
+
10120022220000 = 253547112190481
BaseRepresentation
bin1001001101000100000001…
…0101000101110011100000
31022211110112202012202102210
42103101000111011303200
52311301301142020000
633305023553442120
72063101404363120
oct223210025056340
938743482182383
1010120022220000
113251971795380
1211753b2b70340
13585410b22604
1426db513bac80
151283a1d37350
hex93440545ce0

10120022220000 has 480 divisors, whose sum is σ = 41386861764864. Its totient is φ = 2102860800000.

The previous prime is 10120022219969. The next prime is 10120022220029. The reversal of 10120022220000 is 2222002101.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3524760 + ... + 5715240.

Almost surely, 210120022220000 is an apocalyptic number.

10120022220000 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 10120022220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20693430882432).

10120022220000 is an abundant number, since it is smaller than the sum of its proper divisors (31266839544864).

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

10120022220000 is a wasteful number, since it uses less digits than its factorization.

10120022220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190532 (or 2190509 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10120022220000 its reverse (2222002101), we get a palindrome (10122244222101).

The spelling of 10120022220000 in words is "ten trillion, one hundred twenty billion, twenty-two million, two hundred twenty thousand".