Search a number
-
+
1221335350000 = 245540959723
BaseRepresentation
bin10001110001011101010…
…000100111101011110000
311022202110221221012001121
4101301131100213223300
5130002243322200000
62333023531112024
7154144554120433
oct21613520475360
94282427835047
101221335350000
11430a68a68357
121788528a2614
138b22c82676c
1443181cd381a
1521b82ccab1a
hex11c5d427af0

1221335350000 has 120 divisors (see below), whose sum is σ = 2965013508240. Its totient is φ = 487331520000.

The previous prime is 1221335349851. The next prime is 1221335350013. The reversal of 1221335350000 is 535331221.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20420139 + ... + 20479861.

It is an arithmetic number, because the mean of its divisors is an integer number (24708445902).

Almost surely, 21221335350000 is an apocalyptic number.

1221335350000 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 1221335350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482506754120).

1221335350000 is an abundant number, since it is smaller than the sum of its proper divisors (1743678158240).

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

1221335350000 is an frugal number, since it uses more digits than its factorization.

1221335350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60165 (or 60139 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The spelling of 1221335350000 in words is "one trillion, two hundred twenty-one billion, three hundred thirty-five million, three hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 409 500 625 818 1000 1250 1636 2000 2045 2500 3125 3272 4090 5000 6250 6544 8180 10000 10225 12500 16360 20450 25000 32720 40900 50000 51125 59723 81800 102250 119446 163600 204500 238892 255625 298615 409000 477784 511250 597230 818000 955568 1022500 1194460 1278125 1493075 2045000 2388920 2556250 2986150 4090000 4777840 5112500 5972300 7465375 10225000 11944600 14930750 20450000 23889200 24426707 29861500 37326875 48853414 59723000 74653750 97706828 119446000 122133535 149307500 186634375 195413656 244267070 298615000 373268750 390827312 488534140 597230000 610667675 746537500 977068280 1221335350 1493075000 1954136560 2442670700 2986150000 3053338375 4885341400 6106676750 9770682800 12213353500 15266691875 24426707000 30533383750 48853414000 61066767500 76333459375 122133535000 152666918750 244267070000 305333837500 610667675000 1221335350000