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1221148478121 = 311133191822579
BaseRepresentation
bin10001110001010010000…
…111110000101010101001
311022201222221022010000220
4101301102013300222221
5130001403002244441
62332553213520253
7154140124541445
oct21612207605251
94281887263026
101221148478121
11430982531790
121788001a3089
138b1ccbb7aa0
144316516b825
1521b716b6466
hex11c521f0aa9

1221148478121 has 32 divisors (see below), whose sum is σ = 1974552760320. Its totient is φ = 661122561600.

The previous prime is 1221148478107. The next prime is 1221148478189. The reversal of 1221148478121 is 1218748411221.

It is a happy number.

It is not a de Polignac number, because 1221148478121 - 26 = 1221148478057 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1221148474121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45897991 + ... + 45924588.

It is an arithmetic number, because the mean of its divisors is an integer number (61704773760).

Almost surely, 21221148478121 is an apocalyptic number.

1221148478121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1221148478121 is a deficient number, since it is larger than the sum of its proper divisors (753404282199).

1221148478121 is a wasteful number, since it uses less digits than its factorization.

1221148478121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91822637.

The product of its digits is 57344, while the sum is 42.

The spelling of 1221148478121 in words is "one trillion, two hundred twenty-one billion, one hundred forty-eight million, four hundred seventy-eight thousand, one hundred twenty-one".

Divisors: 1 3 11 13 31 33 39 93 143 341 403 429 1023 1209 4433 13299 91822579 275467737 1010048369 1193693527 2846499949 3030145107 3581080581 8539499847 13130628797 31311499439 37004499337 39391886391 93934498317 111013498011 407049492707 1221148478121