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1221202111120 = 245131743156833
BaseRepresentation
bin10001110001010101010…
…100010110101010010000
311022202010200012221200021
4101301111110112222100
5130002010220023440
62333002411233224
7154141345450045
oct21612524265220
94282120187607
101221202111120
114309aa833a82
12178816148814
138b20b0459a4
144316c32d1cc
1521b7625c84a
hex11c55516a90

1221202111120 has 80 divisors (see below), whose sum is σ = 2864837745792. Its totient is φ = 484096471040.

The previous prime is 1221202110979. The next prime is 1221202111123. The reversal of 1221202111120 is 211112021221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1221202111094 and 1221202111103.

It is not an unprimeable number, because it can be changed into a prime (1221202111123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7708224 + ... + 7865056.

Almost surely, 21221202111120 is an apocalyptic number.

1221202111120 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 1221202111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432418872896).

1221202111120 is an abundant number, since it is smaller than the sum of its proper divisors (1643635634672).

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

1221202111120 is a wasteful number, since it uses less digits than its factorization.

1221202111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157720 (or 157714 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1221202111120 its reverse (211112021221), we get a palindrome (1432314132341).

The spelling of 1221202111120 in words is "one trillion, two hundred twenty-one billion, two hundred two million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 743 1048 1310 1486 2096 2620 2972 3715 5240 5944 7430 10480 11888 14860 29720 59440 97333 156833 194666 313666 389332 486665 627332 778664 784165 973330 1254664 1557328 1568330 1946660 2509328 3136660 3893320 6273320 7786640 12546640 20545123 41090246 82180492 102725615 116526919 164360984 205451230 233053838 328721968 410902460 466107676 582634595 821804920 932215352 1165269190 1643609840 1864430704 2330538380 4661076760 9322153520 15265026389 30530052778 61060105556 76325131945 122120211112 152650263890 244240422224 305300527780 610601055560 1221202111120